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Finding the Third Proportional to 147.62 and 323.21

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Solution

The third proportional to 147.62 and 323.21 is: 707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.62 : 323.21 = 323.21 : x
  2. Step 2: Convert to fraction form
    147.62/323.21 = 323.21/x
  3. Step 3: Cross multiply
    147.62x = 323.21 × 323.21
  4. Step 4: Simplify right side
    147.62x = 104,467.84
  5. Step 5: Solve for x
    x = 104,467.84/147.62
  6. Step 6: Final answer
    x = 707.68

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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.