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Finding the Third Proportional to 160.18 and 362.01

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Solution

The third proportional to 160.18 and 362.01 is: 818.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.18 : 362.01 = 362.01 : x
  2. Step 2: Convert to fraction form
    160.18/362.01 = 362.01/x
  3. Step 3: Cross multiply
    160.18x = 362.01 × 362.01
  4. Step 4: Simplify right side
    160.18x = 131,050.01
  5. Step 5: Solve for x
    x = 131,050.01/160.18
  6. Step 6: Final answer
    x = 818.14

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.