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Finding the Third Proportional to 181,280 and 391,720

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Solution

The third proportional to 181,280 and 391,720 is: 846,450.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,280 : 391,720 = 391,720 : x
  2. Step 2: Convert to fraction form
    181,280/391,720 = 391,720/x
  3. Step 3: Cross multiply
    181,280x = 391,720 × 391,720
  4. Step 4: Simplify right side
    181,280x = 153,444,558,400
  5. Step 5: Solve for x
    x = 153,444,558,400/181,280
  6. Step 6: Final answer
    x = 846,450.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.