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Finding the Third Proportional to 133,031 and 200,927

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Solution

The third proportional to 133,031 and 200,927 is: 303,475.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,031 : 200,927 = 200,927 : x
  2. Step 2: Convert to fraction form
    133,031/200,927 = 200,927/x
  3. Step 3: Cross multiply
    133,031x = 200,927 × 200,927
  4. Step 4: Simplify right side
    133,031x = 40,371,659,329
  5. Step 5: Solve for x
    x = 40,371,659,329/133,031
  6. Step 6: Final answer
    x = 303,475.58

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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.