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Finding the Third Proportional to 119,028 and 247,912

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Solution

The third proportional to 119,028 and 247,912 is: 516,352.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,028 : 247,912 = 247,912 : x
  2. Step 2: Convert to fraction form
    119,028/247,912 = 247,912/x
  3. Step 3: Cross multiply
    119,028x = 247,912 × 247,912
  4. Step 4: Simplify right side
    119,028x = 61,460,359,744
  5. Step 5: Solve for x
    x = 61,460,359,744/119,028
  6. Step 6: Final answer
    x = 516,352.12

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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.