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Finding the Third Proportional to 120,802 and 258,226

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Solution

The third proportional to 120,802 and 258,226 is: 551,983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,802 : 258,226 = 258,226 : x
  2. Step 2: Convert to fraction form
    120,802/258,226 = 258,226/x
  3. Step 3: Cross multiply
    120,802x = 258,226 × 258,226
  4. Step 4: Simplify right side
    120,802x = 66,680,667,076
  5. Step 5: Solve for x
    x = 66,680,667,076/120,802
  6. Step 6: Final answer
    x = 551,983.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.