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Finding the Third Proportional to 203,486 and 437,068

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Solution

The third proportional to 203,486 and 437,068 is: 938,779.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,486 : 437,068 = 437,068 : x
  2. Step 2: Convert to fraction form
    203,486/437,068 = 437,068/x
  3. Step 3: Cross multiply
    203,486x = 437,068 × 437,068
  4. Step 4: Simplify right side
    203,486x = 191,028,436,624
  5. Step 5: Solve for x
    x = 191,028,436,624/203,486
  6. Step 6: Final answer
    x = 938,779.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.