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Finding the Third Proportional to 116,943.75 and 252,340.31

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Solution

The third proportional to 116,943.75 and 252,340.31 is: 544,497.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,943.75 : 252,340.31 = 252,340.31 : x
  2. Step 2: Convert to fraction form
    116,943.75/252,340.31 = 252,340.31/x
  3. Step 3: Cross multiply
    116,943.75x = 252,340.31 × 252,340.31
  4. Step 4: Simplify right side
    116,943.75x = 63,675,633,312.60
  5. Step 5: Solve for x
    x = 63,675,633,312.60/116,943.75
  6. Step 6: Final answer
    x = 544,497.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.