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Finding the Third Proportional to 215,715.66 and 337,652.30

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Solution

The third proportional to 215,715.66 and 337,652.30 is: 528,515.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,715.66 : 337,652.30 = 337,652.30 : x
  2. Step 2: Convert to fraction form
    215,715.66/337,652.30 = 337,652.30/x
  3. Step 3: Cross multiply
    215,715.66x = 337,652.30 × 337,652.30
  4. Step 4: Simplify right side
    215,715.66x = 114,009,073,584.96
  5. Step 5: Solve for x
    x = 114,009,073,584.96/215,715.66
  6. Step 6: Final answer
    x = 528,515.53

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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.