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Finding the Third Proportional to 201,755.25 and 424,424.25

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Solution

The third proportional to 201,755.25 and 424,424.25 is: 892,843.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,755.25 : 424,424.25 = 424,424.25 : x
  2. Step 2: Convert to fraction form
    201,755.25/424,424.25 = 424,424.25/x
  3. Step 3: Cross multiply
    201,755.25x = 424,424.25 × 424,424.25
  4. Step 4: Simplify right side
    201,755.25x = 180,135,943,988.06
  5. Step 5: Solve for x
    x = 180,135,943,988.06/201,755.25
  6. Step 6: Final answer
    x = 892,843.90

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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.