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Finding the Third Proportional to 217,948 and 337,614

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Solution

The third proportional to 217,948 and 337,614 is: 522,983.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,948 : 337,614 = 337,614 : x
  2. Step 2: Convert to fraction form
    217,948/337,614 = 337,614/x
  3. Step 3: Cross multiply
    217,948x = 337,614 × 337,614
  4. Step 4: Simplify right side
    217,948x = 113,983,212,996
  5. Step 5: Solve for x
    x = 113,983,212,996/217,948
  6. Step 6: Final answer
    x = 522,983.52

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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.