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Finding the Third Proportional to 207,864 and 330,759

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Solution

The third proportional to 207,864 and 330,759 is: 526,312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,864 : 330,759 = 330,759 : x
  2. Step 2: Convert to fraction form
    207,864/330,759 = 330,759/x
  3. Step 3: Cross multiply
    207,864x = 330,759 × 330,759
  4. Step 4: Simplify right side
    207,864x = 109,401,516,081
  5. Step 5: Solve for x
    x = 109,401,516,081/207,864
  6. Step 6: Final answer
    x = 526,312.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.