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Finding the Third Proportional to 1,165.25 and 2,240.50

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Solution

The third proportional to 1,165.25 and 2,240.50 is: 4,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.25 : 2,240.50 = 2,240.50 : x
  2. Step 2: Convert to fraction form
    1,165.25/2,240.50 = 2,240.50/x
  3. Step 3: Cross multiply
    1,165.25x = 2,240.50 × 2,240.50
  4. Step 4: Simplify right side
    1,165.25x = 5,019,840.25
  5. Step 5: Solve for x
    x = 5,019,840.25/1,165.25
  6. Step 6: Final answer
    x = 4,307.95

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.