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Finding the Third Proportional to 201,129 and 298,214

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Solution

The third proportional to 201,129 and 298,214 is: 442,161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,129 : 298,214 = 298,214 : x
  2. Step 2: Convert to fraction form
    201,129/298,214 = 298,214/x
  3. Step 3: Cross multiply
    201,129x = 298,214 × 298,214
  4. Step 4: Simplify right side
    201,129x = 88,931,589,796
  5. Step 5: Solve for x
    x = 88,931,589,796/201,129
  6. Step 6: Final answer
    x = 442,161.94

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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.