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Finding the Third Proportional to 119,576.25 and 262,477.97

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Solution

The third proportional to 119,576.25 and 262,477.97 is: 576,156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,576.25 : 262,477.97 = 262,477.97 : x
  2. Step 2: Convert to fraction form
    119,576.25/262,477.97 = 262,477.97/x
  3. Step 3: Cross multiply
    119,576.25x = 262,477.97 × 262,477.97
  4. Step 4: Simplify right side
    119,576.25x = 68,894,684,079.13
  5. Step 5: Solve for x
    x = 68,894,684,079.13/119,576.25
  6. Step 6: Final answer
    x = 576,156.92

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