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Finding the Third Proportional to 147,277.41 and 225,200.25

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Solution

The third proportional to 147,277.41 and 225,200.25 is: 344,351.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,277.41 : 225,200.25 = 225,200.25 : x
  2. Step 2: Convert to fraction form
    147,277.41/225,200.25 = 225,200.25/x
  3. Step 3: Cross multiply
    147,277.41x = 225,200.25 × 225,200.25
  4. Step 4: Simplify right side
    147,277.41x = 50,715,152,600.06
  5. Step 5: Solve for x
    x = 50,715,152,600.06/147,277.41
  6. Step 6: Final answer
    x = 344,351.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.