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Finding the Third Proportional to 221,558 and 334,368

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Solution

The third proportional to 221,558 and 334,368 is: 504,617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,558 : 334,368 = 334,368 : x
  2. Step 2: Convert to fraction form
    221,558/334,368 = 334,368/x
  3. Step 3: Cross multiply
    221,558x = 334,368 × 334,368
  4. Step 4: Simplify right side
    221,558x = 111,801,959,424
  5. Step 5: Solve for x
    x = 111,801,959,424/221,558
  6. Step 6: Final answer
    x = 504,617.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.