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Finding the Third Proportional to 169,588 and 334,908

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Solution

The third proportional to 169,588 and 334,908 is: 661,387.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,588 : 334,908 = 334,908 : x
  2. Step 2: Convert to fraction form
    169,588/334,908 = 334,908/x
  3. Step 3: Cross multiply
    169,588x = 334,908 × 334,908
  4. Step 4: Simplify right side
    169,588x = 112,163,368,464
  5. Step 5: Solve for x
    x = 112,163,368,464/169,588
  6. Step 6: Final answer
    x = 661,387.41

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.