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Finding the Third Proportional to 176.81 and 294.38

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Solution

The third proportional to 176.81 and 294.38 is: 490.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.81 : 294.38 = 294.38 : x
  2. Step 2: Convert to fraction form
    176.81/294.38 = 294.38/x
  3. Step 3: Cross multiply
    176.81x = 294.38 × 294.38
  4. Step 4: Simplify right side
    176.81x = 86,656.64
  5. Step 5: Solve for x
    x = 86,656.64/176.81
  6. Step 6: Final answer
    x = 490.10

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.