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Finding the Third Proportional to 201,128 and 298,213

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Solution

The third proportional to 201,128 and 298,213 is: 442,161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,128 : 298,213 = 298,213 : x
  2. Step 2: Convert to fraction form
    201,128/298,213 = 298,213/x
  3. Step 3: Cross multiply
    201,128x = 298,213 × 298,213
  4. Step 4: Simplify right side
    201,128x = 88,930,993,369
  5. Step 5: Solve for x
    x = 88,930,993,369/201,128
  6. Step 6: Final answer
    x = 442,161.18

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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.