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Finding the Third Proportional to 343 and 752.38

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Solution

The third proportional to 343 and 752.38 is: 1,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    343 : 752.38 = 752.38 : x
  2. Step 2: Convert to fraction form
    343/752.38 = 752.38/x
  3. Step 3: Cross multiply
    343x = 752.38 × 752.38
  4. Step 4: Simplify right side
    343x = 566,068.14
  5. Step 5: Solve for x
    x = 566,068.14/343
  6. Step 6: Final answer
    x = 1,650.34

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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.