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Finding the Third Proportional to 147.31 and 321.63

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Solution

The third proportional to 147.31 and 321.63 is: 702.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.31 : 321.63 = 321.63 : x
  2. Step 2: Convert to fraction form
    147.31/321.63 = 321.63/x
  3. Step 3: Cross multiply
    147.31x = 321.63 × 321.63
  4. Step 4: Simplify right side
    147.31x = 103,442.64
  5. Step 5: Solve for x
    x = 103,442.64/147.31
  6. Step 6: Final answer
    x = 702.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.