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Finding the Third Proportional to 215,785.50 and 337,763.25

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Solution

The third proportional to 215,785.50 and 337,763.25 is: 528,691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,785.50 : 337,763.25 = 337,763.25 : x
  2. Step 2: Convert to fraction form
    215,785.50/337,763.25 = 337,763.25/x
  3. Step 3: Cross multiply
    215,785.50x = 337,763.25 × 337,763.25
  4. Step 4: Simplify right side
    215,785.50x = 114,084,013,050.56
  5. Step 5: Solve for x
    x = 114,084,013,050.56/215,785.50
  6. Step 6: Final answer
    x = 528,691.75

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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.