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Finding the Third Proportional to 157,436 and 183,027

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Solution

The third proportional to 157,436 and 183,027 is: 212,777.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,436 : 183,027 = 183,027 : x
  2. Step 2: Convert to fraction form
    157,436/183,027 = 183,027/x
  3. Step 3: Cross multiply
    157,436x = 183,027 × 183,027
  4. Step 4: Simplify right side
    157,436x = 33,498,882,729
  5. Step 5: Solve for x
    x = 33,498,882,729/157,436
  6. Step 6: Final answer
    x = 212,777.78

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.