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Finding the Third Proportional to 207,661.50 and 272,677.50

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Solution

The third proportional to 207,661.50 and 272,677.50 is: 358,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,661.50 : 272,677.50 = 272,677.50 : x
  2. Step 2: Convert to fraction form
    207,661.50/272,677.50 = 272,677.50/x
  3. Step 3: Cross multiply
    207,661.50x = 272,677.50 × 272,677.50
  4. Step 4: Simplify right side
    207,661.50x = 74,353,019,006.25
  5. Step 5: Solve for x
    x = 74,353,019,006.25/207,661.50
  6. Step 6: Final answer
    x = 358,049.13

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.