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Finding the Third Proportional to 104,084 and 216,350

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Solution

The third proportional to 104,084 and 216,350 is: 449,707.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,084 : 216,350 = 216,350 : x
  2. Step 2: Convert to fraction form
    104,084/216,350 = 216,350/x
  3. Step 3: Cross multiply
    104,084x = 216,350 × 216,350
  4. Step 4: Simplify right side
    104,084x = 46,807,322,500
  5. Step 5: Solve for x
    x = 46,807,322,500/104,084
  6. Step 6: Final answer
    x = 449,707.18

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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.