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Finding the Third Proportional to 195,594 and 292,662

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Solution

The third proportional to 195,594 and 292,662 is: 437,902.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,594 : 292,662 = 292,662 : x
  2. Step 2: Convert to fraction form
    195,594/292,662 = 292,662/x
  3. Step 3: Cross multiply
    195,594x = 292,662 × 292,662
  4. Step 4: Simplify right side
    195,594x = 85,651,046,244
  5. Step 5: Solve for x
    x = 85,651,046,244/195,594
  6. Step 6: Final answer
    x = 437,902.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.