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Finding the Third Proportional to 131,149.13 and 270,707.06

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Solution

The third proportional to 131,149.13 and 270,707.06 is: 558,770.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,149.13 : 270,707.06 = 270,707.06 : x
  2. Step 2: Convert to fraction form
    131,149.13/270,707.06 = 270,707.06/x
  3. Step 3: Cross multiply
    131,149.13x = 270,707.06 × 270,707.06
  4. Step 4: Simplify right side
    131,149.13x = 73,282,313,687.38
  5. Step 5: Solve for x
    x = 73,282,313,687.38/131,149.13
  6. Step 6: Final answer
    x = 558,770.89

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.