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Finding the Third Proportional to 113,681.81 and 247,546.34

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Solution

The third proportional to 113,681.81 and 247,546.34 is: 539,041.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,681.81 : 247,546.34 = 247,546.34 : x
  2. Step 2: Convert to fraction form
    113,681.81/247,546.34 = 247,546.34/x
  3. Step 3: Cross multiply
    113,681.81x = 247,546.34 × 247,546.34
  4. Step 4: Simplify right side
    113,681.81x = 61,279,188,436.08
  5. Step 5: Solve for x
    x = 61,279,188,436.08/113,681.81
  6. Step 6: Final answer
    x = 539,041.27

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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.