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Finding the Third Proportional to 160.17 and 348.47

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Solution

The third proportional to 160.17 and 348.47 is: 758.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.17 : 348.47 = 348.47 : x
  2. Step 2: Convert to fraction form
    160.17/348.47 = 348.47/x
  3. Step 3: Cross multiply
    160.17x = 348.47 × 348.47
  4. Step 4: Simplify right side
    160.17x = 121,430.47
  5. Step 5: Solve for x
    x = 121,430.47/160.17
  6. Step 6: Final answer
    x = 758.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.