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Finding the Third Proportional to 71,184 and 155,760

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Solution

The third proportional to 71,184 and 155,760 is: 340,823.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,184 : 155,760 = 155,760 : x
  2. Step 2: Convert to fraction form
    71,184/155,760 = 155,760/x
  3. Step 3: Cross multiply
    71,184x = 155,760 × 155,760
  4. Step 4: Simplify right side
    71,184x = 24,261,177,600
  5. Step 5: Solve for x
    x = 24,261,177,600/71,184
  6. Step 6: Final answer
    x = 340,823.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.