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Finding the Third Proportional to 181,407 and 393,882

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Solution

The third proportional to 181,407 and 393,882 is: 855,220.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,407 : 393,882 = 393,882 : x
  2. Step 2: Convert to fraction form
    181,407/393,882 = 393,882/x
  3. Step 3: Cross multiply
    181,407x = 393,882 × 393,882
  4. Step 4: Simplify right side
    181,407x = 155,143,029,924
  5. Step 5: Solve for x
    x = 155,143,029,924/181,407
  6. Step 6: Final answer
    x = 855,220.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.