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Finding the Third Proportional to 343.06 and 751.13

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Solution

The third proportional to 343.06 and 751.13 is: 1,644.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.06 : 751.13 = 751.13 : x
  2. Step 2: Convert to fraction form
    343.06/751.13 = 751.13/x
  3. Step 3: Cross multiply
    343.06x = 751.13 × 751.13
  4. Step 4: Simplify right side
    343.06x = 564,188.77
  5. Step 5: Solve for x
    x = 564,188.77/343.06
  6. Step 6: Final answer
    x = 1,644.57

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Why These Related Problems?

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