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Finding the Third Proportional to 265 and 286.50

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Solution

The third proportional to 265 and 286.50 is: 309.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    265 : 286.50 = 286.50 : x
  2. Step 2: Convert to fraction form
    265/286.50 = 286.50/x
  3. Step 3: Cross multiply
    265x = 286.50 × 286.50
  4. Step 4: Simplify right side
    265x = 82,082.25
  5. Step 5: Solve for x
    x = 82,082.25/265
  6. Step 6: Final answer
    x = 309.74

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.