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Finding the Third Proportional to 120,798.84 and 260,151.75

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Solution

The third proportional to 120,798.84 and 260,151.75 is: 560,261.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,798.84 : 260,151.75 = 260,151.75 : x
  2. Step 2: Convert to fraction form
    120,798.84/260,151.75 = 260,151.75/x
  3. Step 3: Cross multiply
    120,798.84x = 260,151.75 × 260,151.75
  4. Step 4: Simplify right side
    120,798.84x = 67,678,933,028.06
  5. Step 5: Solve for x
    x = 67,678,933,028.06/120,798.84
  6. Step 6: Final answer
    x = 560,261.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.