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Finding the Third Proportional to 161,200.13 and 260,435.25

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Solution

The third proportional to 161,200.13 and 260,435.25 is: 420,759.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,200.13 : 260,435.25 = 260,435.25 : x
  2. Step 2: Convert to fraction form
    161,200.13/260,435.25 = 260,435.25/x
  3. Step 3: Cross multiply
    161,200.13x = 260,435.25 × 260,435.25
  4. Step 4: Simplify right side
    161,200.13x = 67,826,519,442.56
  5. Step 5: Solve for x
    x = 67,826,519,442.56/161,200.13
  6. Step 6: Final answer
    x = 420,759.72

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.