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Finding the Third Proportional to 192,650 and 296,478

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Solution

The third proportional to 192,650 and 296,478 is: 456,263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,650 : 296,478 = 296,478 : x
  2. Step 2: Convert to fraction form
    192,650/296,478 = 296,478/x
  3. Step 3: Cross multiply
    192,650x = 296,478 × 296,478
  4. Step 4: Simplify right side
    192,650x = 87,899,204,484
  5. Step 5: Solve for x
    x = 87,899,204,484/192,650
  6. Step 6: Final answer
    x = 456,263.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.