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Finding the Third Proportional to 135,839.53 and 297,923.06

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Solution

The third proportional to 135,839.53 and 297,923.06 is: 653,404.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,839.53 : 297,923.06 = 297,923.06 : x
  2. Step 2: Convert to fraction form
    135,839.53/297,923.06 = 297,923.06/x
  3. Step 3: Cross multiply
    135,839.53x = 297,923.06 × 297,923.06
  4. Step 4: Simplify right side
    135,839.53x = 88,758,151,169.38
  5. Step 5: Solve for x
    x = 88,758,151,169.38/135,839.53
  6. Step 6: Final answer
    x = 653,404.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.