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Finding the Third Proportional to 150,072 and 211,068

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Solution

The third proportional to 150,072 and 211,068 is: 296,855.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,072 : 211,068 = 211,068 : x
  2. Step 2: Convert to fraction form
    150,072/211,068 = 211,068/x
  3. Step 3: Cross multiply
    150,072x = 211,068 × 211,068
  4. Step 4: Simplify right side
    150,072x = 44,549,700,624
  5. Step 5: Solve for x
    x = 44,549,700,624/150,072
  6. Step 6: Final answer
    x = 296,855.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.