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Finding the Third Proportional to 103,903 and 227,246

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Solution

The third proportional to 103,903 and 227,246 is: 497,009.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,903 : 227,246 = 227,246 : x
  2. Step 2: Convert to fraction form
    103,903/227,246 = 227,246/x
  3. Step 3: Cross multiply
    103,903x = 227,246 × 227,246
  4. Step 4: Simplify right side
    103,903x = 51,640,744,516
  5. Step 5: Solve for x
    x = 51,640,744,516/103,903
  6. Step 6: Final answer
    x = 497,009.18

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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.