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Finding the Third Proportional to 100,347 and 217,233

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Solution

The third proportional to 100,347 and 217,233 is: 470,269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,347 : 217,233 = 217,233 : x
  2. Step 2: Convert to fraction form
    100,347/217,233 = 217,233/x
  3. Step 3: Cross multiply
    100,347x = 217,233 × 217,233
  4. Step 4: Simplify right side
    100,347x = 47,190,176,289
  5. Step 5: Solve for x
    x = 47,190,176,289/100,347
  6. Step 6: Final answer
    x = 470,269.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.