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Finding the Third Proportional to 147,352 and 225,257

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Solution

The third proportional to 147,352 and 225,257 is: 344,350.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,352 : 225,257 = 225,257 : x
  2. Step 2: Convert to fraction form
    147,352/225,257 = 225,257/x
  3. Step 3: Cross multiply
    147,352x = 225,257 × 225,257
  4. Step 4: Simplify right side
    147,352x = 50,740,716,049
  5. Step 5: Solve for x
    x = 50,740,716,049/147,352
  6. Step 6: Final answer
    x = 344,350.37

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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.