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Finding the Third Proportional to 201,872.25 and 424,659.38

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Solution

The third proportional to 201,872.25 and 424,659.38 is: 893,315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,872.25 : 424,659.38 = 424,659.38 : x
  2. Step 2: Convert to fraction form
    201,872.25/424,659.38 = 424,659.38/x
  3. Step 3: Cross multiply
    201,872.25x = 424,659.38 × 424,659.38
  4. Step 4: Simplify right side
    201,872.25x = 180,335,584,775.39
  5. Step 5: Solve for x
    x = 180,335,584,775.39/201,872.25
  6. Step 6: Final answer
    x = 893,315.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.