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Finding the Third Proportional to 217,566 and 337,587.75

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Solution

The third proportional to 217,566 and 337,587.75 is: 523,820.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,566 : 337,587.75 = 337,587.75 : x
  2. Step 2: Convert to fraction form
    217,566/337,587.75 = 337,587.75/x
  3. Step 3: Cross multiply
    217,566x = 337,587.75 × 337,587.75
  4. Step 4: Simplify right side
    217,566x = 113,965,488,950.06
  5. Step 5: Solve for x
    x = 113,965,488,950.06/217,566
  6. Step 6: Final answer
    x = 523,820.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.