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Finding the Third Proportional to 159.56 and 337.88

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Solution

The third proportional to 159.56 and 337.88 is: 715.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.56 : 337.88 = 337.88 : x
  2. Step 2: Convert to fraction form
    159.56/337.88 = 337.88/x
  3. Step 3: Cross multiply
    159.56x = 337.88 × 337.88
  4. Step 4: Simplify right side
    159.56x = 114,159.52
  5. Step 5: Solve for x
    x = 114,159.52/159.56
  6. Step 6: Final answer
    x = 715.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.