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Finding the Third Proportional to 210,264 and 283,302

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Solution

The third proportional to 210,264 and 283,302 is: 381,710.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,264 : 283,302 = 283,302 : x
  2. Step 2: Convert to fraction form
    210,264/283,302 = 283,302/x
  3. Step 3: Cross multiply
    210,264x = 283,302 × 283,302
  4. Step 4: Simplify right side
    210,264x = 80,260,023,204
  5. Step 5: Solve for x
    x = 80,260,023,204/210,264
  6. Step 6: Final answer
    x = 381,710.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.