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Finding the Third Proportional to 161,950.50 and 252,046.50

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Solution

The third proportional to 161,950.50 and 252,046.50 is: 392,264.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,950.50 : 252,046.50 = 252,046.50 : x
  2. Step 2: Convert to fraction form
    161,950.50/252,046.50 = 252,046.50/x
  3. Step 3: Cross multiply
    161,950.50x = 252,046.50 × 252,046.50
  4. Step 4: Simplify right side
    161,950.50x = 63,527,438,162.25
  5. Step 5: Solve for x
    x = 63,527,438,162.25/161,950.50
  6. Step 6: Final answer
    x = 392,264.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.