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Finding the Third Proportional to 147,350 and 225,254

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Solution

The third proportional to 147,350 and 225,254 is: 344,345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,350 : 225,254 = 225,254 : x
  2. Step 2: Convert to fraction form
    147,350/225,254 = 225,254/x
  3. Step 3: Cross multiply
    147,350x = 225,254 × 225,254
  4. Step 4: Simplify right side
    147,350x = 50,739,364,516
  5. Step 5: Solve for x
    x = 50,739,364,516/147,350
  6. Step 6: Final answer
    x = 344,345.87

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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.