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Finding the Third Proportional to 120,295.13 and 260,439.75

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Solution

The third proportional to 120,295.13 and 260,439.75 is: 563,853.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,295.13 : 260,439.75 = 260,439.75 : x
  2. Step 2: Convert to fraction form
    120,295.13/260,439.75 = 260,439.75/x
  3. Step 3: Cross multiply
    120,295.13x = 260,439.75 × 260,439.75
  4. Step 4: Simplify right side
    120,295.13x = 67,828,863,380.06
  5. Step 5: Solve for x
    x = 67,828,863,380.06/120,295.13
  6. Step 6: Final answer
    x = 563,853.80

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