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Finding the Third Proportional to 183.47 and 386.16

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Solution

The third proportional to 183.47 and 386.16 is: 812.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.47 : 386.16 = 386.16 : x
  2. Step 2: Convert to fraction form
    183.47/386.16 = 386.16/x
  3. Step 3: Cross multiply
    183.47x = 386.16 × 386.16
  4. Step 4: Simplify right side
    183.47x = 149,116.65
  5. Step 5: Solve for x
    x = 149,116.65/183.47
  6. Step 6: Final answer
    x = 812.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.