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Finding the Third Proportional to 115,146.28 and 247,788.56

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Solution

The third proportional to 115,146.28 and 247,788.56 is: 533,227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,146.28 : 247,788.56 = 247,788.56 : x
  2. Step 2: Convert to fraction form
    115,146.28/247,788.56 = 247,788.56/x
  3. Step 3: Cross multiply
    115,146.28x = 247,788.56 × 247,788.56
  4. Step 4: Simplify right side
    115,146.28x = 61,399,171,705.82
  5. Step 5: Solve for x
    x = 61,399,171,705.82/115,146.28
  6. Step 6: Final answer
    x = 533,227.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.