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Finding the Third Proportional to 120,382.13 and 260,826.19

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Solution

The third proportional to 120,382.13 and 260,826.19 is: 565,119.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,382.13 : 260,826.19 = 260,826.19 : x
  2. Step 2: Convert to fraction form
    120,382.13/260,826.19 = 260,826.19/x
  3. Step 3: Cross multiply
    120,382.13x = 260,826.19 × 260,826.19
  4. Step 4: Simplify right side
    120,382.13x = 68,030,300,085.79
  5. Step 5: Solve for x
    x = 68,030,300,085.79/120,382.13
  6. Step 6: Final answer
    x = 565,119.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.