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Finding the Third Proportional to 160.45 and 242.30

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Solution

The third proportional to 160.45 and 242.30 is: 365.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.45 : 242.30 = 242.30 : x
  2. Step 2: Convert to fraction form
    160.45/242.30 = 242.30/x
  3. Step 3: Cross multiply
    160.45x = 242.30 × 242.30
  4. Step 4: Simplify right side
    160.45x = 58,707.78
  5. Step 5: Solve for x
    x = 58,707.78/160.45
  6. Step 6: Final answer
    x = 365.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.