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Finding the Third Proportional to 147,807.28 and 225,401.48

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Solution

The third proportional to 147,807.28 and 225,401.48 is: 343,730.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,807.28 : 225,401.48 = 225,401.48 : x
  2. Step 2: Convert to fraction form
    147,807.28/225,401.48 = 225,401.48/x
  3. Step 3: Cross multiply
    147,807.28x = 225,401.48 × 225,401.48
  4. Step 4: Simplify right side
    147,807.28x = 50,805,829,158.45
  5. Step 5: Solve for x
    x = 50,805,829,158.45/147,807.28
  6. Step 6: Final answer
    x = 343,730.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.