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Finding the Third Proportional to 104,704 and 218,240

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Solution

The third proportional to 104,704 and 218,240 is: 454,889.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,704 : 218,240 = 218,240 : x
  2. Step 2: Convert to fraction form
    104,704/218,240 = 218,240/x
  3. Step 3: Cross multiply
    104,704x = 218,240 × 218,240
  4. Step 4: Simplify right side
    104,704x = 47,628,697,600
  5. Step 5: Solve for x
    x = 47,628,697,600/104,704
  6. Step 6: Final answer
    x = 454,889.00

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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.