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Finding the Third Proportional to 144,885.38 and 305,502.75

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Solution

The third proportional to 144,885.38 and 305,502.75 is: 644,177.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,885.38 : 305,502.75 = 305,502.75 : x
  2. Step 2: Convert to fraction form
    144,885.38/305,502.75 = 305,502.75/x
  3. Step 3: Cross multiply
    144,885.38x = 305,502.75 × 305,502.75
  4. Step 4: Simplify right side
    144,885.38x = 93,331,930,257.56
  5. Step 5: Solve for x
    x = 93,331,930,257.56/144,885.38
  6. Step 6: Final answer
    x = 644,177.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.