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Finding the Third Proportional to 205,711.50 and 272,957

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Solution

The third proportional to 205,711.50 and 272,957 is: 362,184.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,711.50 : 272,957 = 272,957 : x
  2. Step 2: Convert to fraction form
    205,711.50/272,957 = 272,957/x
  3. Step 3: Cross multiply
    205,711.50x = 272,957 × 272,957
  4. Step 4: Simplify right side
    205,711.50x = 74,505,523,849
  5. Step 5: Solve for x
    x = 74,505,523,849/205,711.50
  6. Step 6: Final answer
    x = 362,184.53

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.