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Finding the Third Proportional to 225,294.75 and 337,987.13

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Solution

The third proportional to 225,294.75 and 337,987.13 is: 507,048.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,294.75 : 337,987.13 = 337,987.13 : x
  2. Step 2: Convert to fraction form
    225,294.75/337,987.13 = 337,987.13/x
  3. Step 3: Cross multiply
    225,294.75x = 337,987.13 × 337,987.13
  4. Step 4: Simplify right side
    225,294.75x = 114,235,296,665.77
  5. Step 5: Solve for x
    x = 114,235,296,665.77/225,294.75
  6. Step 6: Final answer
    x = 507,048.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.