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Finding the Third Proportional to 207,027 and 313,646

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Solution

The third proportional to 207,027 and 313,646 is: 475,173.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,027 : 313,646 = 313,646 : x
  2. Step 2: Convert to fraction form
    207,027/313,646 = 313,646/x
  3. Step 3: Cross multiply
    207,027x = 313,646 × 313,646
  4. Step 4: Simplify right side
    207,027x = 98,373,813,316
  5. Step 5: Solve for x
    x = 98,373,813,316/207,027
  6. Step 6: Final answer
    x = 475,173.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.