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Finding the Third Proportional to 82,223.50 and 177,561

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Solution

The third proportional to 82,223.50 and 177,561 is: 383,441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,223.50 : 177,561 = 177,561 : x
  2. Step 2: Convert to fraction form
    82,223.50/177,561 = 177,561/x
  3. Step 3: Cross multiply
    82,223.50x = 177,561 × 177,561
  4. Step 4: Simplify right side
    82,223.50x = 31,527,908,721
  5. Step 5: Solve for x
    x = 31,527,908,721/82,223.50
  6. Step 6: Final answer
    x = 383,441.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.