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Finding the Third Proportional to 217,986 and 337,671

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Solution

The third proportional to 217,986 and 337,671 is: 523,068.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,986 : 337,671 = 337,671 : x
  2. Step 2: Convert to fraction form
    217,986/337,671 = 337,671/x
  3. Step 3: Cross multiply
    217,986x = 337,671 × 337,671
  4. Step 4: Simplify right side
    217,986x = 114,021,704,241
  5. Step 5: Solve for x
    x = 114,021,704,241/217,986
  6. Step 6: Final answer
    x = 523,068.93

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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.