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Finding the Third Proportional to 210,228.75 and 283,267.13

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Solution

The third proportional to 210,228.75 and 283,267.13 is: 381,680.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,228.75 : 283,267.13 = 283,267.13 : x
  2. Step 2: Convert to fraction form
    210,228.75/283,267.13 = 283,267.13/x
  3. Step 3: Cross multiply
    210,228.75x = 283,267.13 × 283,267.13
  4. Step 4: Simplify right side
    210,228.75x = 80,240,264,105.77
  5. Step 5: Solve for x
    x = 80,240,264,105.77/210,228.75
  6. Step 6: Final answer
    x = 381,680.74

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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.