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Finding the Third Proportional to 113,615.25 and 247,181.81

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Solution

The third proportional to 113,615.25 and 247,181.81 is: 537,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,615.25 : 247,181.81 = 247,181.81 : x
  2. Step 2: Convert to fraction form
    113,615.25/247,181.81 = 247,181.81/x
  3. Step 3: Cross multiply
    113,615.25x = 247,181.81 × 247,181.81
  4. Step 4: Simplify right side
    113,615.25x = 61,098,848,430.79
  5. Step 5: Solve for x
    x = 61,098,848,430.79/113,615.25
  6. Step 6: Final answer
    x = 537,769.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.