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Finding the Third Proportional to 120.52 and 260.02

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Solution

The third proportional to 120.52 and 260.02 is: 560.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.52 : 260.02 = 260.02 : x
  2. Step 2: Convert to fraction form
    120.52/260.02 = 260.02/x
  3. Step 3: Cross multiply
    120.52x = 260.02 × 260.02
  4. Step 4: Simplify right side
    120.52x = 67,608.13
  5. Step 5: Solve for x
    x = 67,608.13/120.52
  6. Step 6: Final answer
    x = 560.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.