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Finding the Third Proportional to 171,761 and 272,569.50

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Solution

The third proportional to 171,761 and 272,569.50 is: 432,543.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,761 : 272,569.50 = 272,569.50 : x
  2. Step 2: Convert to fraction form
    171,761/272,569.50 = 272,569.50/x
  3. Step 3: Cross multiply
    171,761x = 272,569.50 × 272,569.50
  4. Step 4: Simplify right side
    171,761x = 74,294,132,330.25
  5. Step 5: Solve for x
    x = 74,294,132,330.25/171,761
  6. Step 6: Final answer
    x = 432,543.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.