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Finding the Third Proportional to 193,884 and 291,032

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Solution

The third proportional to 193,884 and 291,032 is: 436,857.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,884 : 291,032 = 291,032 : x
  2. Step 2: Convert to fraction form
    193,884/291,032 = 291,032/x
  3. Step 3: Cross multiply
    193,884x = 291,032 × 291,032
  4. Step 4: Simplify right side
    193,884x = 84,699,625,024
  5. Step 5: Solve for x
    x = 84,699,625,024/193,884
  6. Step 6: Final answer
    x = 436,857.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.