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Finding the Third Proportional to 116,196.19 and 246,340.69

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Solution

The third proportional to 116,196.19 and 246,340.69 is: 522,252.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,196.19 : 246,340.69 = 246,340.69 : x
  2. Step 2: Convert to fraction form
    116,196.19/246,340.69 = 246,340.69/x
  3. Step 3: Cross multiply
    116,196.19x = 246,340.69 × 246,340.69
  4. Step 4: Simplify right side
    116,196.19x = 60,683,734,317.97
  5. Step 5: Solve for x
    x = 60,683,734,317.97/116,196.19
  6. Step 6: Final answer
    x = 522,252.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.