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Finding the Third Proportional to 100,572 and 217,840

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Solution

The third proportional to 100,572 and 217,840 is: 471,843.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,572 : 217,840 = 217,840 : x
  2. Step 2: Convert to fraction form
    100,572/217,840 = 217,840/x
  3. Step 3: Cross multiply
    100,572x = 217,840 × 217,840
  4. Step 4: Simplify right side
    100,572x = 47,454,265,600
  5. Step 5: Solve for x
    x = 47,454,265,600/100,572
  6. Step 6: Final answer
    x = 471,843.71

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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.