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Finding the Third Proportional to 127,755 and 268,740

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Solution

The third proportional to 127,755 and 268,740 is: 565,310.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,755 : 268,740 = 268,740 : x
  2. Step 2: Convert to fraction form
    127,755/268,740 = 268,740/x
  3. Step 3: Cross multiply
    127,755x = 268,740 × 268,740
  4. Step 4: Simplify right side
    127,755x = 72,221,187,600
  5. Step 5: Solve for x
    x = 72,221,187,600/127,755
  6. Step 6: Final answer
    x = 565,310.07

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.