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Finding the Third Proportional to 134,918.75 and 297,002.75

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Solution

The third proportional to 134,918.75 and 297,002.75 is: 653,805.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,918.75 : 297,002.75 = 297,002.75 : x
  2. Step 2: Convert to fraction form
    134,918.75/297,002.75 = 297,002.75/x
  3. Step 3: Cross multiply
    134,918.75x = 297,002.75 × 297,002.75
  4. Step 4: Simplify right side
    134,918.75x = 88,210,633,507.56
  5. Step 5: Solve for x
    x = 88,210,633,507.56/134,918.75
  6. Step 6: Final answer
    x = 653,805.59

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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.