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Finding the Third Proportional to 100,584 and 220,320

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Solution

The third proportional to 100,584 and 220,320 is: 482,590.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,584 : 220,320 = 220,320 : x
  2. Step 2: Convert to fraction form
    100,584/220,320 = 220,320/x
  3. Step 3: Cross multiply
    100,584x = 220,320 × 220,320
  4. Step 4: Simplify right side
    100,584x = 48,540,902,400
  5. Step 5: Solve for x
    x = 48,540,902,400/100,584
  6. Step 6: Final answer
    x = 482,590.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.