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Finding the Third Proportional to 133,014 and 291,897

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Solution

The third proportional to 133,014 and 291,897 is: 640,563.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,014 : 291,897 = 291,897 : x
  2. Step 2: Convert to fraction form
    133,014/291,897 = 291,897/x
  3. Step 3: Cross multiply
    133,014x = 291,897 × 291,897
  4. Step 4: Simplify right side
    133,014x = 85,203,858,609
  5. Step 5: Solve for x
    x = 85,203,858,609/133,014
  6. Step 6: Final answer
    x = 640,563.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.