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Finding the Third Proportional to 181,206 and 266,472

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Solution

The third proportional to 181,206 and 266,472 is: 391,859.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,206 : 266,472 = 266,472 : x
  2. Step 2: Convert to fraction form
    181,206/266,472 = 266,472/x
  3. Step 3: Cross multiply
    181,206x = 266,472 × 266,472
  4. Step 4: Simplify right side
    181,206x = 71,007,326,784
  5. Step 5: Solve for x
    x = 71,007,326,784/181,206
  6. Step 6: Final answer
    x = 391,859.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.