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Finding the Third Proportional to 143.06 and 312.23

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Solution

The third proportional to 143.06 and 312.23 is: 681.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.06 : 312.23 = 312.23 : x
  2. Step 2: Convert to fraction form
    143.06/312.23 = 312.23/x
  3. Step 3: Cross multiply
    143.06x = 312.23 × 312.23
  4. Step 4: Simplify right side
    143.06x = 97,490.30
  5. Step 5: Solve for x
    x = 97,490.30/143.06
  6. Step 6: Final answer
    x = 681.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.