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Finding the Third Proportional to 116,653.50 and 247,425.75

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Solution

The third proportional to 116,653.50 and 247,425.75 is: 524,797.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,653.50 : 247,425.75 = 247,425.75 : x
  2. Step 2: Convert to fraction form
    116,653.50/247,425.75 = 247,425.75/x
  3. Step 3: Cross multiply
    116,653.50x = 247,425.75 × 247,425.75
  4. Step 4: Simplify right side
    116,653.50x = 61,219,501,763.06
  5. Step 5: Solve for x
    x = 61,219,501,763.06/116,653.50
  6. Step 6: Final answer
    x = 524,797.81

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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.