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Finding the Third Proportional to 119,043 and 247,945.50

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Solution

The third proportional to 119,043 and 247,945.50 is: 516,426.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,043 : 247,945.50 = 247,945.50 : x
  2. Step 2: Convert to fraction form
    119,043/247,945.50 = 247,945.50/x
  3. Step 3: Cross multiply
    119,043x = 247,945.50 × 247,945.50
  4. Step 4: Simplify right side
    119,043x = 61,476,970,970.25
  5. Step 5: Solve for x
    x = 61,476,970,970.25/119,043
  6. Step 6: Final answer
    x = 516,426.59

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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.