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Finding the Third Proportional to 119,574.75 and 262,474.88

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Solution

The third proportional to 119,574.75 and 262,474.88 is: 576,150.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,574.75 : 262,474.88 = 262,474.88 : x
  2. Step 2: Convert to fraction form
    119,574.75/262,474.88 = 262,474.88/x
  3. Step 3: Cross multiply
    119,574.75x = 262,474.88 × 262,474.88
  4. Step 4: Simplify right side
    119,574.75x = 68,893,060,006.27
  5. Step 5: Solve for x
    x = 68,893,060,006.27/119,574.75
  6. Step 6: Final answer
    x = 576,150.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.