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Finding the Third Proportional to 201,980.25 and 424,878.75

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Solution

The third proportional to 201,980.25 and 424,878.75 is: 893,760.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,980.25 : 424,878.75 = 424,878.75 : x
  2. Step 2: Convert to fraction form
    201,980.25/424,878.75 = 424,878.75/x
  3. Step 3: Cross multiply
    201,980.25x = 424,878.75 × 424,878.75
  4. Step 4: Simplify right side
    201,980.25x = 180,521,952,201.56
  5. Step 5: Solve for x
    x = 180,521,952,201.56/201,980.25
  6. Step 6: Final answer
    x = 893,760.42

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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.