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Finding the Third Proportional to 181,748 and 275,892

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Solution

The third proportional to 181,748 and 275,892 is: 418,801.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,748 : 275,892 = 275,892 : x
  2. Step 2: Convert to fraction form
    181,748/275,892 = 275,892/x
  3. Step 3: Cross multiply
    181,748x = 275,892 × 275,892
  4. Step 4: Simplify right side
    181,748x = 76,116,395,664
  5. Step 5: Solve for x
    x = 76,116,395,664/181,748
  6. Step 6: Final answer
    x = 418,801.83

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.