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Finding the Third Proportional to 215,706.38 and 337,638.38

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Solution

The third proportional to 215,706.38 and 337,638.38 is: 528,494.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,706.38 : 337,638.38 = 337,638.38 : x
  2. Step 2: Convert to fraction form
    215,706.38/337,638.38 = 337,638.38/x
  3. Step 3: Cross multiply
    215,706.38x = 337,638.38 × 337,638.38
  4. Step 4: Simplify right side
    215,706.38x = 113,999,672,272.64
  5. Step 5: Solve for x
    x = 113,999,672,272.64/215,706.38
  6. Step 6: Final answer
    x = 528,494.68

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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.