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Finding the Third Proportional to 100,283 and 220,246

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Solution

The third proportional to 100,283 and 220,246 is: 483,714.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,283 : 220,246 = 220,246 : x
  2. Step 2: Convert to fraction form
    100,283/220,246 = 220,246/x
  3. Step 3: Cross multiply
    100,283x = 220,246 × 220,246
  4. Step 4: Simplify right side
    100,283x = 48,508,300,516
  5. Step 5: Solve for x
    x = 48,508,300,516/100,283
  6. Step 6: Final answer
    x = 483,714.09

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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.