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Finding the Third Proportional to 176,206 and 272,949

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Solution

The third proportional to 176,206 and 272,949 is: 422,807.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,206 : 272,949 = 272,949 : x
  2. Step 2: Convert to fraction form
    176,206/272,949 = 272,949/x
  3. Step 3: Cross multiply
    176,206x = 272,949 × 272,949
  4. Step 4: Simplify right side
    176,206x = 74,501,156,601
  5. Step 5: Solve for x
    x = 74,501,156,601/176,206
  6. Step 6: Final answer
    x = 422,807.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.