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Finding the Third Proportional to 195,434.25 and 292,000.13

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Solution

The third proportional to 195,434.25 and 292,000.13 is: 436,280.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,434.25 : 292,000.13 = 292,000.13 : x
  2. Step 2: Convert to fraction form
    195,434.25/292,000.13 = 292,000.13/x
  3. Step 3: Cross multiply
    195,434.25x = 292,000.13 × 292,000.13
  4. Step 4: Simplify right side
    195,434.25x = 85,264,073,000.02
  5. Step 5: Solve for x
    x = 85,264,073,000.02/195,434.25
  6. Step 6: Final answer
    x = 436,280.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.