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Finding the Third Proportional to 104,520 and 203,784

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Solution

The third proportional to 104,520 and 203,784 is: 397,320.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,520 : 203,784 = 203,784 : x
  2. Step 2: Convert to fraction form
    104,520/203,784 = 203,784/x
  3. Step 3: Cross multiply
    104,520x = 203,784 × 203,784
  4. Step 4: Simplify right side
    104,520x = 41,527,918,656
  5. Step 5: Solve for x
    x = 41,527,918,656/104,520
  6. Step 6: Final answer
    x = 397,320.31

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.