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Finding the Third Proportional to 204,172 and 299,334

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Solution

The third proportional to 204,172 and 299,334 is: 438,849.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,172 : 299,334 = 299,334 : x
  2. Step 2: Convert to fraction form
    204,172/299,334 = 299,334/x
  3. Step 3: Cross multiply
    204,172x = 299,334 × 299,334
  4. Step 4: Simplify right side
    204,172x = 89,600,843,556
  5. Step 5: Solve for x
    x = 89,600,843,556/204,172
  6. Step 6: Final answer
    x = 438,849.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.