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Finding the Third Proportional to 168,384 and 360,117

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Solution

The third proportional to 168,384 and 360,117 is: 770,169.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,384 : 360,117 = 360,117 : x
  2. Step 2: Convert to fraction form
    168,384/360,117 = 360,117/x
  3. Step 3: Cross multiply
    168,384x = 360,117 × 360,117
  4. Step 4: Simplify right side
    168,384x = 129,684,253,689
  5. Step 5: Solve for x
    x = 129,684,253,689/168,384
  6. Step 6: Final answer
    x = 770,169.69

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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.