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Finding the Third Proportional to 181,252 and 266,588

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Solution

The third proportional to 181,252 and 266,588 is: 392,101.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,252 : 266,588 = 266,588 : x
  2. Step 2: Convert to fraction form
    181,252/266,588 = 266,588/x
  3. Step 3: Cross multiply
    181,252x = 266,588 × 266,588
  4. Step 4: Simplify right side
    181,252x = 71,069,161,744
  5. Step 5: Solve for x
    x = 71,069,161,744/181,252
  6. Step 6: Final answer
    x = 392,101.39

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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.