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Finding the Third Proportional to 351.56 and 760.31

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Solution

The third proportional to 351.56 and 760.31 is: 1,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.56 : 760.31 = 760.31 : x
  2. Step 2: Convert to fraction form
    351.56/760.31 = 760.31/x
  3. Step 3: Cross multiply
    351.56x = 760.31 × 760.31
  4. Step 4: Simplify right side
    351.56x = 578,075.10
  5. Step 5: Solve for x
    x = 578,075.10/351.56
  6. Step 6: Final answer
    x = 1,644.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.