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Finding the Third Proportional to 133,006 and 200,889

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Solution

The third proportional to 133,006 and 200,889 is: 303,417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,006 : 200,889 = 200,889 : x
  2. Step 2: Convert to fraction form
    133,006/200,889 = 200,889/x
  3. Step 3: Cross multiply
    133,006x = 200,889 × 200,889
  4. Step 4: Simplify right side
    133,006x = 40,356,390,321
  5. Step 5: Solve for x
    x = 40,356,390,321/133,006
  6. Step 6: Final answer
    x = 303,417.82

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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.