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Finding the Third Proportional to 143 and 308.13

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Solution

The third proportional to 143 and 308.13 is: 663.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    143 : 308.13 = 308.13 : x
  2. Step 2: Convert to fraction form
    143/308.13 = 308.13/x
  3. Step 3: Cross multiply
    143x = 308.13 × 308.13
  4. Step 4: Simplify right side
    143x = 94,941.02
  5. Step 5: Solve for x
    x = 94,941.02/143
  6. Step 6: Final answer
    x = 663.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.