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Finding the Third Proportional to 168,342 and 360,328

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Solution

The third proportional to 168,342 and 360,328 is: 771,264.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,342 : 360,328 = 360,328 : x
  2. Step 2: Convert to fraction form
    168,342/360,328 = 360,328/x
  3. Step 3: Cross multiply
    168,342x = 360,328 × 360,328
  4. Step 4: Simplify right side
    168,342x = 129,836,267,584
  5. Step 5: Solve for x
    x = 129,836,267,584/168,342
  6. Step 6: Final answer
    x = 771,264.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.