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Finding the Third Proportional to 204,144 and 299,292

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Solution

The third proportional to 204,144 and 299,292 is: 438,786.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,144 : 299,292 = 299,292 : x
  2. Step 2: Convert to fraction form
    204,144/299,292 = 299,292/x
  3. Step 3: Cross multiply
    204,144x = 299,292 × 299,292
  4. Step 4: Simplify right side
    204,144x = 89,575,701,264
  5. Step 5: Solve for x
    x = 89,575,701,264/204,144
  6. Step 6: Final answer
    x = 438,786.84

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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.