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Finding the Third Proportional to 181,674 and 391,113

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Solution

The third proportional to 181,674 and 391,113 is: 841,999.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,674 : 391,113 = 391,113 : x
  2. Step 2: Convert to fraction form
    181,674/391,113 = 391,113/x
  3. Step 3: Cross multiply
    181,674x = 391,113 × 391,113
  4. Step 4: Simplify right side
    181,674x = 152,969,378,769
  5. Step 5: Solve for x
    x = 152,969,378,769/181,674
  6. Step 6: Final answer
    x = 841,999.29

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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.