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Finding the Third Proportional to 119,256 and 252,708

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Solution

The third proportional to 119,256 and 252,708 is: 535,497.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,256 : 252,708 = 252,708 : x
  2. Step 2: Convert to fraction form
    119,256/252,708 = 252,708/x
  3. Step 3: Cross multiply
    119,256x = 252,708 × 252,708
  4. Step 4: Simplify right side
    119,256x = 63,861,333,264
  5. Step 5: Solve for x
    x = 63,861,333,264/119,256
  6. Step 6: Final answer
    x = 535,497.86

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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.