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Finding the Third Proportional to 201,164 and 298,274

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Solution

The third proportional to 201,164 and 298,274 is: 442,262.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,164 : 298,274 = 298,274 : x
  2. Step 2: Convert to fraction form
    201,164/298,274 = 298,274/x
  3. Step 3: Cross multiply
    201,164x = 298,274 × 298,274
  4. Step 4: Simplify right side
    201,164x = 88,967,379,076
  5. Step 5: Solve for x
    x = 88,967,379,076/201,164
  6. Step 6: Final answer
    x = 442,262.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.