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Finding the Third Proportional to 119,238 and 252,691

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Solution

The third proportional to 119,238 and 252,691 is: 535,506.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,238 : 252,691 = 252,691 : x
  2. Step 2: Convert to fraction form
    119,238/252,691 = 252,691/x
  3. Step 3: Cross multiply
    119,238x = 252,691 × 252,691
  4. Step 4: Simplify right side
    119,238x = 63,852,741,481
  5. Step 5: Solve for x
    x = 63,852,741,481/119,238
  6. Step 6: Final answer
    x = 535,506.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.