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Finding the Third Proportional to 207,896 and 334,812

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Solution

The third proportional to 207,896 and 334,812 is: 539,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,896 : 334,812 = 334,812 : x
  2. Step 2: Convert to fraction form
    207,896/334,812 = 334,812/x
  3. Step 3: Cross multiply
    207,896x = 334,812 × 334,812
  4. Step 4: Simplify right side
    207,896x = 112,099,075,344
  5. Step 5: Solve for x
    x = 112,099,075,344/207,896
  6. Step 6: Final answer
    x = 539,207.47

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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.