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Finding the Third Proportional to 138,864 and 302,817

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Solution

The third proportional to 138,864 and 302,817 is: 660,344.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,864 : 302,817 = 302,817 : x
  2. Step 2: Convert to fraction form
    138,864/302,817 = 302,817/x
  3. Step 3: Cross multiply
    138,864x = 302,817 × 302,817
  4. Step 4: Simplify right side
    138,864x = 91,698,135,489
  5. Step 5: Solve for x
    x = 91,698,135,489/138,864
  6. Step 6: Final answer
    x = 660,344.91

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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.