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Finding the Third Proportional to 119,974 and 277,747

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Solution

The third proportional to 119,974 and 277,747 is: 643,000.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,974 : 277,747 = 277,747 : x
  2. Step 2: Convert to fraction form
    119,974/277,747 = 277,747/x
  3. Step 3: Cross multiply
    119,974x = 277,747 × 277,747
  4. Step 4: Simplify right side
    119,974x = 77,143,396,009
  5. Step 5: Solve for x
    x = 77,143,396,009/119,974
  6. Step 6: Final answer
    x = 643,000.95

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.