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Finding the Third Proportional to 514.90 and 1,145.18

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Solution

The third proportional to 514.90 and 1,145.18 is: 2,546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.90 : 1,145.18 = 1,145.18 : x
  2. Step 2: Convert to fraction form
    514.90/1,145.18 = 1,145.18/x
  3. Step 3: Cross multiply
    514.90x = 1,145.18 × 1,145.18
  4. Step 4: Simplify right side
    514.90x = 1,311,436.52
  5. Step 5: Solve for x
    x = 1,311,436.52/514.90
  6. Step 6: Final answer
    x = 2,546.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.