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Finding the Third Proportional to 81,484.50 and 176,535.50

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Solution

The third proportional to 81,484.50 and 176,535.50 is: 382,462.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,484.50 : 176,535.50 = 176,535.50 : x
  2. Step 2: Convert to fraction form
    81,484.50/176,535.50 = 176,535.50/x
  3. Step 3: Cross multiply
    81,484.50x = 176,535.50 × 176,535.50
  4. Step 4: Simplify right side
    81,484.50x = 31,164,782,760.25
  5. Step 5: Solve for x
    x = 31,164,782,760.25/81,484.50
  6. Step 6: Final answer
    x = 382,462.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.