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Finding the Third Proportional to 138,107 and 300,817

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Solution

The third proportional to 138,107 and 300,817 is: 655,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,107 : 300,817 = 300,817 : x
  2. Step 2: Convert to fraction form
    138,107/300,817 = 300,817/x
  3. Step 3: Cross multiply
    138,107x = 300,817 × 300,817
  4. Step 4: Simplify right side
    138,107x = 90,490,867,489
  5. Step 5: Solve for x
    x = 90,490,867,489/138,107
  6. Step 6: Final answer
    x = 655,222.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.