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Finding the Third Proportional to 114,419 and 247,900

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Solution

The third proportional to 114,419 and 247,900 is: 537,099.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,419 : 247,900 = 247,900 : x
  2. Step 2: Convert to fraction form
    114,419/247,900 = 247,900/x
  3. Step 3: Cross multiply
    114,419x = 247,900 × 247,900
  4. Step 4: Simplify right side
    114,419x = 61,454,410,000
  5. Step 5: Solve for x
    x = 61,454,410,000/114,419
  6. Step 6: Final answer
    x = 537,099.69

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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.