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Finding the Third Proportional to 119,047 and 247,954

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Solution

The third proportional to 119,047 and 247,954 is: 516,444.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,047 : 247,954 = 247,954 : x
  2. Step 2: Convert to fraction form
    119,047/247,954 = 247,954/x
  3. Step 3: Cross multiply
    119,047x = 247,954 × 247,954
  4. Step 4: Simplify right side
    119,047x = 61,481,186,116
  5. Step 5: Solve for x
    x = 61,481,186,116/119,047
  6. Step 6: Final answer
    x = 516,444.65

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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.