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Finding the Third Proportional to 119,004 and 247,864

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Solution

The third proportional to 119,004 and 247,864 is: 516,256.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,004 : 247,864 = 247,864 : x
  2. Step 2: Convert to fraction form
    119,004/247,864 = 247,864/x
  3. Step 3: Cross multiply
    119,004x = 247,864 × 247,864
  4. Step 4: Simplify right side
    119,004x = 61,436,562,496
  5. Step 5: Solve for x
    x = 61,436,562,496/119,004
  6. Step 6: Final answer
    x = 516,256.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.