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Finding the Third Proportional to 215,725.50 and 337,672.13

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Solution

The third proportional to 215,725.50 and 337,672.13 is: 528,553.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,725.50 : 337,672.13 = 337,672.13 : x
  2. Step 2: Convert to fraction form
    215,725.50/337,672.13 = 337,672.13/x
  3. Step 3: Cross multiply
    215,725.50x = 337,672.13 × 337,672.13
  4. Step 4: Simplify right side
    215,725.50x = 114,022,464,002.02
  5. Step 5: Solve for x
    x = 114,022,464,002.02/215,725.50
  6. Step 6: Final answer
    x = 528,553.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.