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Finding the Third Proportional to 113,994 and 248,960

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Solution

The third proportional to 113,994 and 248,960 is: 543,722.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,994 : 248,960 = 248,960 : x
  2. Step 2: Convert to fraction form
    113,994/248,960 = 248,960/x
  3. Step 3: Cross multiply
    113,994x = 248,960 × 248,960
  4. Step 4: Simplify right side
    113,994x = 61,981,081,600
  5. Step 5: Solve for x
    x = 61,981,081,600/113,994
  6. Step 6: Final answer
    x = 543,722.32

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