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Finding the Third Proportional to 244.90 and 433.32

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Solution

The third proportional to 244.90 and 433.32 is: 766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.90 : 433.32 = 433.32 : x
  2. Step 2: Convert to fraction form
    244.90/433.32 = 433.32/x
  3. Step 3: Cross multiply
    244.90x = 433.32 × 433.32
  4. Step 4: Simplify right side
    244.90x = 187,764.80
  5. Step 5: Solve for x
    x = 187,764.80/244.90
  6. Step 6: Final answer
    x = 766.70

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.