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Finding the Third Proportional to 135,681.75 and 297,963.56

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Solution

The third proportional to 135,681.75 and 297,963.56 is: 654,342.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,681.75 : 297,963.56 = 297,963.56 : x
  2. Step 2: Convert to fraction form
    135,681.75/297,963.56 = 297,963.56/x
  3. Step 3: Cross multiply
    135,681.75x = 297,963.56 × 297,963.56
  4. Step 4: Simplify right side
    135,681.75x = 88,782,284,577.69
  5. Step 5: Solve for x
    x = 88,782,284,577.69/135,681.75
  6. Step 6: Final answer
    x = 654,342.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.