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Finding the Third Proportional to 309.50 and 460.75

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Solution

The third proportional to 309.50 and 460.75 is: 685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.50 : 460.75 = 460.75 : x
  2. Step 2: Convert to fraction form
    309.50/460.75 = 460.75/x
  3. Step 3: Cross multiply
    309.50x = 460.75 × 460.75
  4. Step 4: Simplify right side
    309.50x = 212,290.56
  5. Step 5: Solve for x
    x = 212,290.56/309.50
  6. Step 6: Final answer
    x = 685.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.