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Finding the Third Proportional to 152,264 and 330,478

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Solution

The third proportional to 152,264 and 330,478 is: 717,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,264 : 330,478 = 330,478 : x
  2. Step 2: Convert to fraction form
    152,264/330,478 = 330,478/x
  3. Step 3: Cross multiply
    152,264x = 330,478 × 330,478
  4. Step 4: Simplify right side
    152,264x = 109,215,708,484
  5. Step 5: Solve for x
    x = 109,215,708,484/152,264
  6. Step 6: Final answer
    x = 717,278.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.