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Finding the Third Proportional to 168,535 and 360,398

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Solution

The third proportional to 168,535 and 360,398 is: 770,680.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,535 : 360,398 = 360,398 : x
  2. Step 2: Convert to fraction form
    168,535/360,398 = 360,398/x
  3. Step 3: Cross multiply
    168,535x = 360,398 × 360,398
  4. Step 4: Simplify right side
    168,535x = 129,886,718,404
  5. Step 5: Solve for x
    x = 129,886,718,404/168,535
  6. Step 6: Final answer
    x = 770,680.98

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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.