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Finding the Third Proportional to 207,908 and 234,562

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Solution

The third proportional to 207,908 and 234,562 is: 264,633.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,908 : 234,562 = 234,562 : x
  2. Step 2: Convert to fraction form
    207,908/234,562 = 234,562/x
  3. Step 3: Cross multiply
    207,908x = 234,562 × 234,562
  4. Step 4: Simplify right side
    207,908x = 55,019,331,844
  5. Step 5: Solve for x
    x = 55,019,331,844/207,908
  6. Step 6: Final answer
    x = 264,633.07

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.