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Finding the Third Proportional to 195,280 and 292,920

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Solution

The third proportional to 195,280 and 292,920 is: 439,380

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,280 : 292,920 = 292,920 : x
  2. Step 2: Convert to fraction form
    195,280/292,920 = 292,920/x
  3. Step 3: Cross multiply
    195,280x = 292,920 × 292,920
  4. Step 4: Simplify right side
    195,280x = 85,802,126,400
  5. Step 5: Solve for x
    x = 85,802,126,400/195,280
  6. Step 6: Final answer
    x = 439,380

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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.