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Finding the Third Proportional to 153,114 and 217,758

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Solution

The third proportional to 153,114 and 217,758 is: 309,694.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,114 : 217,758 = 217,758 : x
  2. Step 2: Convert to fraction form
    153,114/217,758 = 217,758/x
  3. Step 3: Cross multiply
    153,114x = 217,758 × 217,758
  4. Step 4: Simplify right side
    153,114x = 47,418,546,564
  5. Step 5: Solve for x
    x = 47,418,546,564/153,114
  6. Step 6: Final answer
    x = 309,694.39

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.