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Finding the Third Proportional to 161,277.75 and 225,569.25

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Solution

The third proportional to 161,277.75 and 225,569.25 is: 315,489.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,277.75 : 225,569.25 = 225,569.25 : x
  2. Step 2: Convert to fraction form
    161,277.75/225,569.25 = 225,569.25/x
  3. Step 3: Cross multiply
    161,277.75x = 225,569.25 × 225,569.25
  4. Step 4: Simplify right side
    161,277.75x = 50,881,486,545.56
  5. Step 5: Solve for x
    x = 50,881,486,545.56/161,277.75
  6. Step 6: Final answer
    x = 315,489.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.