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Finding the Third Proportional to 132,593.63 and 283,321.13

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Solution

The third proportional to 132,593.63 and 283,321.13 is: 605,390.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,593.63 : 283,321.13 = 283,321.13 : x
  2. Step 2: Convert to fraction form
    132,593.63/283,321.13 = 283,321.13/x
  3. Step 3: Cross multiply
    132,593.63x = 283,321.13 × 283,321.13
  4. Step 4: Simplify right side
    132,593.63x = 80,270,859,871.27
  5. Step 5: Solve for x
    x = 80,270,859,871.27/132,593.63
  6. Step 6: Final answer
    x = 605,390.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.