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Finding the Third Proportional to 113,583.75 and 247,797

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Solution

The third proportional to 113,583.75 and 247,797 is: 540,599.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,583.75 : 247,797 = 247,797 : x
  2. Step 2: Convert to fraction form
    113,583.75/247,797 = 247,797/x
  3. Step 3: Cross multiply
    113,583.75x = 247,797 × 247,797
  4. Step 4: Simplify right side
    113,583.75x = 61,403,353,209
  5. Step 5: Solve for x
    x = 61,403,353,209/113,583.75
  6. Step 6: Final answer
    x = 540,599.81

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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.