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Finding the Third Proportional to 141,746 and 217,497

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Solution

The third proportional to 141,746 and 217,497 is: 333,730.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,746 : 217,497 = 217,497 : x
  2. Step 2: Convert to fraction form
    141,746/217,497 = 217,497/x
  3. Step 3: Cross multiply
    141,746x = 217,497 × 217,497
  4. Step 4: Simplify right side
    141,746x = 47,304,945,009
  5. Step 5: Solve for x
    x = 47,304,945,009/141,746
  6. Step 6: Final answer
    x = 333,730.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.