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Finding the Third Proportional to 113,966 and 247,996

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Solution

The third proportional to 113,966 and 247,996 is: 539,652.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,966 : 247,996 = 247,996 : x
  2. Step 2: Convert to fraction form
    113,966/247,996 = 247,996/x
  3. Step 3: Cross multiply
    113,966x = 247,996 × 247,996
  4. Step 4: Simplify right side
    113,966x = 61,502,016,016
  5. Step 5: Solve for x
    x = 61,502,016,016/113,966
  6. Step 6: Final answer
    x = 539,652.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.