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Finding the Third Proportional to 346.13 and 767.25

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Solution

The third proportional to 346.13 and 767.25 is: 1,700.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.13 : 767.25 = 767.25 : x
  2. Step 2: Convert to fraction form
    346.13/767.25 = 767.25/x
  3. Step 3: Cross multiply
    346.13x = 767.25 × 767.25
  4. Step 4: Simplify right side
    346.13x = 588,672.56
  5. Step 5: Solve for x
    x = 588,672.56/346.13
  6. Step 6: Final answer
    x = 1,700.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.