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Finding the Third Proportional to 282.50 and 446.75

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Solution

The third proportional to 282.50 and 446.75 is: 706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.50 : 446.75 = 446.75 : x
  2. Step 2: Convert to fraction form
    282.50/446.75 = 446.75/x
  3. Step 3: Cross multiply
    282.50x = 446.75 × 446.75
  4. Step 4: Simplify right side
    282.50x = 199,585.56
  5. Step 5: Solve for x
    x = 199,585.56/282.50
  6. Step 6: Final answer
    x = 706.50

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.