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Finding the Third Proportional to 346.22 and 752.91

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Solution

The third proportional to 346.22 and 752.91 is: 1,637.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.22 : 752.91 = 752.91 : x
  2. Step 2: Convert to fraction form
    346.22/752.91 = 752.91/x
  3. Step 3: Cross multiply
    346.22x = 752.91 × 752.91
  4. Step 4: Simplify right side
    346.22x = 566,867.82
  5. Step 5: Solve for x
    x = 566,867.82/346.22
  6. Step 6: Final answer
    x = 1,637.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.