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Finding the Third Proportional to 160.00 and 224.70

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Solution

The third proportional to 160.00 and 224.70 is: 315.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.00 : 224.70 = 224.70 : x
  2. Step 2: Convert to fraction form
    160.00/224.70 = 224.70/x
  3. Step 3: Cross multiply
    160.00x = 224.70 × 224.70
  4. Step 4: Simplify right side
    160.00x = 50,489.14
  5. Step 5: Solve for x
    x = 50,489.14/160.00
  6. Step 6: Final answer
    x = 315.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.