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Finding the Third Proportional to 201,214 and 426,418

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Solution

The third proportional to 201,214 and 426,418 is: 903,676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,214 : 426,418 = 426,418 : x
  2. Step 2: Convert to fraction form
    201,214/426,418 = 426,418/x
  3. Step 3: Cross multiply
    201,214x = 426,418 × 426,418
  4. Step 4: Simplify right side
    201,214x = 181,832,310,724
  5. Step 5: Solve for x
    x = 181,832,310,724/201,214
  6. Step 6: Final answer
    x = 903,676.24

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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.