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Finding the Third Proportional to 176.25 and 386.81

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Solution

The third proportional to 176.25 and 386.81 is: 848.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.25 : 386.81 = 386.81 : x
  2. Step 2: Convert to fraction form
    176.25/386.81 = 386.81/x
  3. Step 3: Cross multiply
    176.25x = 386.81 × 386.81
  4. Step 4: Simplify right side
    176.25x = 149,623.91
  5. Step 5: Solve for x
    x = 149,623.91/176.25
  6. Step 6: Final answer
    x = 848.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.