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Finding the Third Proportional to 193,981 and 291,233

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Solution

The third proportional to 193,981 and 291,233 is: 437,242.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,981 : 291,233 = 291,233 : x
  2. Step 2: Convert to fraction form
    193,981/291,233 = 291,233/x
  3. Step 3: Cross multiply
    193,981x = 291,233 × 291,233
  4. Step 4: Simplify right side
    193,981x = 84,816,660,289
  5. Step 5: Solve for x
    x = 84,816,660,289/193,981
  6. Step 6: Final answer
    x = 437,242.10

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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.