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Finding the Third Proportional to 169,435.88 and 225,889.13

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Solution

The third proportional to 169,435.88 and 225,889.13 is: 301,151.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,435.88 : 225,889.13 = 225,889.13 : x
  2. Step 2: Convert to fraction form
    169,435.88/225,889.13 = 225,889.13/x
  3. Step 3: Cross multiply
    169,435.88x = 225,889.13 × 225,889.13
  4. Step 4: Simplify right side
    169,435.88x = 51,025,896,793.27
  5. Step 5: Solve for x
    x = 51,025,896,793.27/169,435.88
  6. Step 6: Final answer
    x = 301,151.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.