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Finding the Third Proportional to 1,288 and 2,320

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Solution

The third proportional to 1,288 and 2,320 is: 4,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288 : 2,320 = 2,320 : x
  2. Step 2: Convert to fraction form
    1,288/2,320 = 2,320/x
  3. Step 3: Cross multiply
    1,288x = 2,320 × 2,320
  4. Step 4: Simplify right side
    1,288x = 5,382,400
  5. Step 5: Solve for x
    x = 5,382,400/1,288
  6. Step 6: Final answer
    x = 4,178.88

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.