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Finding the Third Proportional to 334.23 and 708.12

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Solution

The third proportional to 334.23 and 708.12 is: 1,500.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.23 : 708.12 = 708.12 : x
  2. Step 2: Convert to fraction form
    334.23/708.12 = 708.12/x
  3. Step 3: Cross multiply
    334.23x = 708.12 × 708.12
  4. Step 4: Simplify right side
    334.23x = 501,429.95
  5. Step 5: Solve for x
    x = 501,429.95/334.23
  6. Step 6: Final answer
    x = 1,500.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.