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Finding the Third Proportional to 193,974.75 and 291,225.38

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Solution

The third proportional to 193,974.75 and 291,225.38 is: 437,233.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,974.75 : 291,225.38 = 291,225.38 : x
  2. Step 2: Convert to fraction form
    193,974.75/291,225.38 = 291,225.38/x
  3. Step 3: Cross multiply
    193,974.75x = 291,225.38 × 291,225.38
  4. Step 4: Simplify right side
    193,974.75x = 84,812,219,043.89
  5. Step 5: Solve for x
    x = 84,812,219,043.89/193,974.75
  6. Step 6: Final answer
    x = 437,233.29

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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.