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Finding the Third Proportional to 176.13 and 358.17

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Solution

The third proportional to 176.13 and 358.17 is: 728.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.13 : 358.17 = 358.17 : x
  2. Step 2: Convert to fraction form
    176.13/358.17 = 358.17/x
  3. Step 3: Cross multiply
    176.13x = 358.17 × 358.17
  4. Step 4: Simplify right side
    176.13x = 128,287.09
  5. Step 5: Solve for x
    x = 128,287.09/176.13
  6. Step 6: Final answer
    x = 728.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.