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Finding the Third Proportional to 307,158.75 and 465,031.13

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Solution

The third proportional to 307,158.75 and 465,031.13 is: 704,046.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,158.75 : 465,031.13 = 465,031.13 : x
  2. Step 2: Convert to fraction form
    307,158.75/465,031.13 = 465,031.13/x
  3. Step 3: Cross multiply
    307,158.75x = 465,031.13 × 465,031.13
  4. Step 4: Simplify right side
    307,158.75x = 216,253,947,218.77
  5. Step 5: Solve for x
    x = 216,253,947,218.77/307,158.75
  6. Step 6: Final answer
    x = 704,046.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.