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Finding the Third Proportional to 176.66 and 358.33

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Solution

The third proportional to 176.66 and 358.33 is: 726.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.66 : 358.33 = 358.33 : x
  2. Step 2: Convert to fraction form
    176.66/358.33 = 358.33/x
  3. Step 3: Cross multiply
    176.66x = 358.33 × 358.33
  4. Step 4: Simplify right side
    176.66x = 128,400.44
  5. Step 5: Solve for x
    x = 128,400.44/176.66
  6. Step 6: Final answer
    x = 726.82

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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.