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Finding the Third Proportional to 127,844 and 242,566

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Solution

The third proportional to 127,844 and 242,566 is: 460,234.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,844 : 242,566 = 242,566 : x
  2. Step 2: Convert to fraction form
    127,844/242,566 = 242,566/x
  3. Step 3: Cross multiply
    127,844x = 242,566 × 242,566
  4. Step 4: Simplify right side
    127,844x = 58,838,264,356
  5. Step 5: Solve for x
    x = 58,838,264,356/127,844
  6. Step 6: Final answer
    x = 460,234.85

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.