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Finding the Third Proportional to 119,525.25 and 260,784.75

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Solution

The third proportional to 119,525.25 and 260,784.75 is: 568,990.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,525.25 : 260,784.75 = 260,784.75 : x
  2. Step 2: Convert to fraction form
    119,525.25/260,784.75 = 260,784.75/x
  3. Step 3: Cross multiply
    119,525.25x = 260,784.75 × 260,784.75
  4. Step 4: Simplify right side
    119,525.25x = 68,008,685,832.56
  5. Step 5: Solve for x
    x = 68,008,685,832.56/119,525.25
  6. Step 6: Final answer
    x = 568,990.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.