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Finding the Third Proportional to 181,539 and 391,023

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Solution

The third proportional to 181,539 and 391,023 is: 842,237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,539 : 391,023 = 391,023 : x
  2. Step 2: Convert to fraction form
    181,539/391,023 = 391,023/x
  3. Step 3: Cross multiply
    181,539x = 391,023 × 391,023
  4. Step 4: Simplify right side
    181,539x = 152,898,986,529
  5. Step 5: Solve for x
    x = 152,898,986,529/181,539
  6. Step 6: Final answer
    x = 842,237.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.