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Finding the Third Proportional to 80,160 and 154,176

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Solution

The third proportional to 80,160 and 154,176 is: 296,534.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,160 : 154,176 = 154,176 : x
  2. Step 2: Convert to fraction form
    80,160/154,176 = 154,176/x
  3. Step 3: Cross multiply
    80,160x = 154,176 × 154,176
  4. Step 4: Simplify right side
    80,160x = 23,770,238,976
  5. Step 5: Solve for x
    x = 23,770,238,976/80,160
  6. Step 6: Final answer
    x = 296,534.92

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.