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Finding the Third Proportional to 144,142.66 and 315,434.88

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Solution

The third proportional to 144,142.66 and 315,434.88 is: 690,282.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,142.66 : 315,434.88 = 315,434.88 : x
  2. Step 2: Convert to fraction form
    144,142.66/315,434.88 = 315,434.88/x
  3. Step 3: Cross multiply
    144,142.66x = 315,434.88 × 315,434.88
  4. Step 4: Simplify right side
    144,142.66x = 99,499,165,294.94
  5. Step 5: Solve for x
    x = 99,499,165,294.94/144,142.66
  6. Step 6: Final answer
    x = 690,282.55

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