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Finding the Third Proportional to 207,898 and 334,814

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Solution

The third proportional to 207,898 and 334,814 is: 539,208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,898 : 334,814 = 334,814 : x
  2. Step 2: Convert to fraction form
    207,898/334,814 = 334,814/x
  3. Step 3: Cross multiply
    207,898x = 334,814 × 334,814
  4. Step 4: Simplify right side
    207,898x = 112,100,414,596
  5. Step 5: Solve for x
    x = 112,100,414,596/207,898
  6. Step 6: Final answer
    x = 539,208.72

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.