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Finding the Third Proportional to 158,744 and 216,180

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Solution

The third proportional to 158,744 and 216,180 is: 294,397.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,744 : 216,180 = 216,180 : x
  2. Step 2: Convert to fraction form
    158,744/216,180 = 216,180/x
  3. Step 3: Cross multiply
    158,744x = 216,180 × 216,180
  4. Step 4: Simplify right side
    158,744x = 46,733,792,400
  5. Step 5: Solve for x
    x = 46,733,792,400/158,744
  6. Step 6: Final answer
    x = 294,397.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.