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Finding the Third Proportional to 201,214 and 426,414

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Solution

The third proportional to 201,214 and 426,414 is: 903,659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,214 : 426,414 = 426,414 : x
  2. Step 2: Convert to fraction form
    201,214/426,414 = 426,414/x
  3. Step 3: Cross multiply
    201,214x = 426,414 × 426,414
  4. Step 4: Simplify right side
    201,214x = 181,828,899,396
  5. Step 5: Solve for x
    x = 181,828,899,396/201,214
  6. Step 6: Final answer
    x = 903,659.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.