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Finding the Third Proportional to 169,188 and 360,328

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Solution

The third proportional to 169,188 and 360,328 is: 767,408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,188 : 360,328 = 360,328 : x
  2. Step 2: Convert to fraction form
    169,188/360,328 = 360,328/x
  3. Step 3: Cross multiply
    169,188x = 360,328 × 360,328
  4. Step 4: Simplify right side
    169,188x = 129,836,267,584
  5. Step 5: Solve for x
    x = 129,836,267,584/169,188
  6. Step 6: Final answer
    x = 767,408.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.