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Finding the Third Proportional to 142,250.04 and 211,207.82

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Solution

The third proportional to 142,250.04 and 211,207.82 is: 313,593.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,250.04 : 211,207.82 = 211,207.82 : x
  2. Step 2: Convert to fraction form
    142,250.04/211,207.82 = 211,207.82/x
  3. Step 3: Cross multiply
    142,250.04x = 211,207.82 × 211,207.82
  4. Step 4: Simplify right side
    142,250.04x = 44,608,741,711.10
  5. Step 5: Solve for x
    x = 44,608,741,711.10/142,250.04
  6. Step 6: Final answer
    x = 313,593.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.