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Finding the Third Proportional to 114,244 and 247,928

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Solution

The third proportional to 114,244 and 247,928 is: 538,043.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,244 : 247,928 = 247,928 : x
  2. Step 2: Convert to fraction form
    114,244/247,928 = 247,928/x
  3. Step 3: Cross multiply
    114,244x = 247,928 × 247,928
  4. Step 4: Simplify right side
    114,244x = 61,468,293,184
  5. Step 5: Solve for x
    x = 61,468,293,184/114,244
  6. Step 6: Final answer
    x = 538,043.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.