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Finding the Third Proportional to 159.84 and 344.20

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Solution

The third proportional to 159.84 and 344.20 is: 741.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.84 : 344.20 = 344.20 : x
  2. Step 2: Convert to fraction form
    159.84/344.20 = 344.20/x
  3. Step 3: Cross multiply
    159.84x = 344.20 × 344.20
  4. Step 4: Simplify right side
    159.84x = 118,471.76
  5. Step 5: Solve for x
    x = 118,471.76/159.84
  6. Step 6: Final answer
    x = 741.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.