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Finding the Third Proportional to 142.13 and 343.88

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Solution

The third proportional to 142.13 and 343.88 is: 832.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.13 : 343.88 = 343.88 : x
  2. Step 2: Convert to fraction form
    142.13/343.88 = 343.88/x
  3. Step 3: Cross multiply
    142.13x = 343.88 × 343.88
  4. Step 4: Simplify right side
    142.13x = 118,250.02
  5. Step 5: Solve for x
    x = 118,250.02/142.13
  6. Step 6: Final answer
    x = 832.01

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.