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Finding the Third Proportional to 160.18 and 247.03

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Solution

The third proportional to 160.18 and 247.03 is: 380.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.18 : 247.03 = 247.03 : x
  2. Step 2: Convert to fraction form
    160.18/247.03 = 247.03/x
  3. Step 3: Cross multiply
    160.18x = 247.03 × 247.03
  4. Step 4: Simplify right side
    160.18x = 61,025.89
  5. Step 5: Solve for x
    x = 61,025.89/160.18
  6. Step 6: Final answer
    x = 380.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.