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Finding the Third Proportional to 201,348 and 434,016

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Solution

The third proportional to 201,348 and 434,016 is: 935,543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,348 : 434,016 = 434,016 : x
  2. Step 2: Convert to fraction form
    201,348/434,016 = 434,016/x
  3. Step 3: Cross multiply
    201,348x = 434,016 × 434,016
  4. Step 4: Simplify right side
    201,348x = 188,369,888,256
  5. Step 5: Solve for x
    x = 188,369,888,256/201,348
  6. Step 6: Final answer
    x = 935,543.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.