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Finding the Third Proportional to 193,727 and 260,337

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Solution

The third proportional to 193,727 and 260,337 is: 349,849.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,727 : 260,337 = 260,337 : x
  2. Step 2: Convert to fraction form
    193,727/260,337 = 260,337/x
  3. Step 3: Cross multiply
    193,727x = 260,337 × 260,337
  4. Step 4: Simplify right side
    193,727x = 67,775,353,569
  5. Step 5: Solve for x
    x = 67,775,353,569/193,727
  6. Step 6: Final answer
    x = 349,849.81

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.