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Finding the Third Proportional to 169,411.50 and 225,850.50

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Solution

The third proportional to 169,411.50 and 225,850.50 is: 301,092.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,411.50 : 225,850.50 = 225,850.50 : x
  2. Step 2: Convert to fraction form
    169,411.50/225,850.50 = 225,850.50/x
  3. Step 3: Cross multiply
    169,411.50x = 225,850.50 × 225,850.50
  4. Step 4: Simplify right side
    169,411.50x = 51,008,448,350.25
  5. Step 5: Solve for x
    x = 51,008,448,350.25/169,411.50
  6. Step 6: Final answer
    x = 301,092.01

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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.