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Finding the Third Proportional to 237,151.13 and 513,982.13

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Solution

The third proportional to 237,151.13 and 513,982.13 is: 1,113,963.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,151.13 : 513,982.13 = 513,982.13 : x
  2. Step 2: Convert to fraction form
    237,151.13/513,982.13 = 513,982.13/x
  3. Step 3: Cross multiply
    237,151.13x = 513,982.13 × 513,982.13
  4. Step 4: Simplify right side
    237,151.13x = 264,177,624,819.52
  5. Step 5: Solve for x
    x = 264,177,624,819.52/237,151.13
  6. Step 6: Final answer
    x = 1,113,963.19

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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.