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Finding the Third Proportional to 207,956 and 314,868

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Solution

The third proportional to 207,956 and 314,868 is: 476,744.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,956 : 314,868 = 314,868 : x
  2. Step 2: Convert to fraction form
    207,956/314,868 = 314,868/x
  3. Step 3: Cross multiply
    207,956x = 314,868 × 314,868
  4. Step 4: Simplify right side
    207,956x = 99,141,857,424
  5. Step 5: Solve for x
    x = 99,141,857,424/207,956
  6. Step 6: Final answer
    x = 476,744.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.