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Finding the Third Proportional to 100,301 and 220,282

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Solution

The third proportional to 100,301 and 220,282 is: 483,785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,301 : 220,282 = 220,282 : x
  2. Step 2: Convert to fraction form
    100,301/220,282 = 220,282/x
  3. Step 3: Cross multiply
    100,301x = 220,282 × 220,282
  4. Step 4: Simplify right side
    100,301x = 48,524,159,524
  5. Step 5: Solve for x
    x = 48,524,159,524/100,301
  6. Step 6: Final answer
    x = 483,785.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.