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Finding the Third Proportional to 216,614 and 334,755

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Solution

The third proportional to 216,614 and 334,755 is: 517,329.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,614 : 334,755 = 334,755 : x
  2. Step 2: Convert to fraction form
    216,614/334,755 = 334,755/x
  3. Step 3: Cross multiply
    216,614x = 334,755 × 334,755
  4. Step 4: Simplify right side
    216,614x = 112,060,910,025
  5. Step 5: Solve for x
    x = 112,060,910,025/216,614
  6. Step 6: Final answer
    x = 517,329.95

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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.