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Finding the Third Proportional to 210,432 and 283,518

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Solution

The third proportional to 210,432 and 283,518 is: 381,987.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,432 : 283,518 = 283,518 : x
  2. Step 2: Convert to fraction form
    210,432/283,518 = 283,518/x
  3. Step 3: Cross multiply
    210,432x = 283,518 × 283,518
  4. Step 4: Simplify right side
    210,432x = 80,382,456,324
  5. Step 5: Solve for x
    x = 80,382,456,324/210,432
  6. Step 6: Final answer
    x = 381,987.80

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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.