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Finding the Third Proportional to 142,526.25 and 225,672.75

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Solution

The third proportional to 142,526.25 and 225,672.75 is: 357,324.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,526.25 : 225,672.75 = 225,672.75 : x
  2. Step 2: Convert to fraction form
    142,526.25/225,672.75 = 225,672.75/x
  3. Step 3: Cross multiply
    142,526.25x = 225,672.75 × 225,672.75
  4. Step 4: Simplify right side
    142,526.25x = 50,928,190,092.56
  5. Step 5: Solve for x
    x = 50,928,190,092.56/142,526.25
  6. Step 6: Final answer
    x = 357,324.98

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.