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Finding the Third Proportional to 201,151 and 298,243

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Solution

The third proportional to 201,151 and 298,243 is: 442,199.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,151 : 298,243 = 298,243 : x
  2. Step 2: Convert to fraction form
    201,151/298,243 = 298,243/x
  3. Step 3: Cross multiply
    201,151x = 298,243 × 298,243
  4. Step 4: Simplify right side
    201,151x = 88,948,887,049
  5. Step 5: Solve for x
    x = 88,948,887,049/201,151
  6. Step 6: Final answer
    x = 442,199.58

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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.