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Finding the Third Proportional to 283.87 and 602.15

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Solution

The third proportional to 283.87 and 602.15 is: 1,277.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.87 : 602.15 = 602.15 : x
  2. Step 2: Convert to fraction form
    283.87/602.15 = 602.15/x
  3. Step 3: Cross multiply
    283.87x = 602.15 × 602.15
  4. Step 4: Simplify right side
    283.87x = 362,581.56
  5. Step 5: Solve for x
    x = 362,581.56/283.87
  6. Step 6: Final answer
    x = 1,277.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.