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Finding the Third Proportional to 518.34 and 1,102.50

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Solution

The third proportional to 518.34 and 1,102.50 is: 2,344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.34 : 1,102.50 = 1,102.50 : x
  2. Step 2: Convert to fraction form
    518.34/1,102.50 = 1,102.50/x
  3. Step 3: Cross multiply
    518.34x = 1,102.50 × 1,102.50
  4. Step 4: Simplify right side
    518.34x = 1,215,506.25
  5. Step 5: Solve for x
    x = 1,215,506.25/518.34
  6. Step 6: Final answer
    x = 2,344.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.