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Finding the Third Proportional to 176,389.88 and 231,778.13

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Solution

The third proportional to 176,389.88 and 231,778.13 is: 304,558.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,389.88 : 231,778.13 = 231,778.13 : x
  2. Step 2: Convert to fraction form
    176,389.88/231,778.13 = 231,778.13/x
  3. Step 3: Cross multiply
    176,389.88x = 231,778.13 × 231,778.13
  4. Step 4: Simplify right side
    176,389.88x = 53,721,099,228.52
  5. Step 5: Solve for x
    x = 53,721,099,228.52/176,389.88
  6. Step 6: Final answer
    x = 304,558.86

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.