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Finding the Third Proportional to 208,150 and 431,068

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Solution

The third proportional to 208,150 and 431,068 is: 892,719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,150 : 431,068 = 431,068 : x
  2. Step 2: Convert to fraction form
    208,150/431,068 = 431,068/x
  3. Step 3: Cross multiply
    208,150x = 431,068 × 431,068
  4. Step 4: Simplify right side
    208,150x = 185,819,620,624
  5. Step 5: Solve for x
    x = 185,819,620,624/208,150
  6. Step 6: Final answer
    x = 892,719.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.