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Finding the Third Proportional to 169,124 and 364,408

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Solution

The third proportional to 169,124 and 364,408 is: 785,182.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,124 : 364,408 = 364,408 : x
  2. Step 2: Convert to fraction form
    169,124/364,408 = 364,408/x
  3. Step 3: Cross multiply
    169,124x = 364,408 × 364,408
  4. Step 4: Simplify right side
    169,124x = 132,793,190,464
  5. Step 5: Solve for x
    x = 132,793,190,464/169,124
  6. Step 6: Final answer
    x = 785,182.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.