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Finding the Third Proportional to 140,239 and 217,562

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Solution

The third proportional to 140,239 and 217,562 is: 337,518.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,239 : 217,562 = 217,562 : x
  2. Step 2: Convert to fraction form
    140,239/217,562 = 217,562/x
  3. Step 3: Cross multiply
    140,239x = 217,562 × 217,562
  4. Step 4: Simplify right side
    140,239x = 47,333,223,844
  5. Step 5: Solve for x
    x = 47,333,223,844/140,239
  6. Step 6: Final answer
    x = 337,518.26

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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.