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Finding the Third Proportional to 310.87 and 467.07

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Solution

The third proportional to 310.87 and 467.07 is: 701.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.87 : 467.07 = 467.07 : x
  2. Step 2: Convert to fraction form
    310.87/467.07 = 467.07/x
  3. Step 3: Cross multiply
    310.87x = 467.07 × 467.07
  4. Step 4: Simplify right side
    310.87x = 218,152.85
  5. Step 5: Solve for x
    x = 218,152.85/310.87
  6. Step 6: Final answer
    x = 701.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.