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Finding the Third Proportional to 210,448 and 283,584

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Solution

The third proportional to 210,448 and 283,584 is: 382,136.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,448 : 283,584 = 283,584 : x
  2. Step 2: Convert to fraction form
    210,448/283,584 = 283,584/x
  3. Step 3: Cross multiply
    210,448x = 283,584 × 283,584
  4. Step 4: Simplify right side
    210,448x = 80,419,885,056
  5. Step 5: Solve for x
    x = 80,419,885,056/210,448
  6. Step 6: Final answer
    x = 382,136.61

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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.