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Finding the Third Proportional to 207,886 and 334,797

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Solution

The third proportional to 207,886 and 334,797 is: 539,185.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,886 : 334,797 = 334,797 : x
  2. Step 2: Convert to fraction form
    207,886/334,797 = 334,797/x
  3. Step 3: Cross multiply
    207,886x = 334,797 × 334,797
  4. Step 4: Simplify right side
    207,886x = 112,089,031,209
  5. Step 5: Solve for x
    x = 112,089,031,209/207,886
  6. Step 6: Final answer
    x = 539,185.09

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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.