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Finding the Third Proportional to 147,279 and 225,201

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Solution

The third proportional to 147,279 and 225,201 is: 344,349.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,279 : 225,201 = 225,201 : x
  2. Step 2: Convert to fraction form
    147,279/225,201 = 225,201/x
  3. Step 3: Cross multiply
    147,279x = 225,201 × 225,201
  4. Step 4: Simplify right side
    147,279x = 50,715,490,401
  5. Step 5: Solve for x
    x = 50,715,490,401/147,279
  6. Step 6: Final answer
    x = 344,349.77

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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.