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Finding the Third Proportional to 309.50 and 459.75

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Solution

The third proportional to 309.50 and 459.75 is: 682.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.50 : 459.75 = 459.75 : x
  2. Step 2: Convert to fraction form
    309.50/459.75 = 459.75/x
  3. Step 3: Cross multiply
    309.50x = 459.75 × 459.75
  4. Step 4: Simplify right side
    309.50x = 211,370.06
  5. Step 5: Solve for x
    x = 211,370.06/309.50
  6. Step 6: Final answer
    x = 682.94

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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.