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Finding the Third Proportional to 250,229.25 and 521,194.50

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Solution

The third proportional to 250,229.25 and 521,194.50 is: 1,085,579.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,229.25 : 521,194.50 = 521,194.50 : x
  2. Step 2: Convert to fraction form
    250,229.25/521,194.50 = 521,194.50/x
  3. Step 3: Cross multiply
    250,229.25x = 521,194.50 × 521,194.50
  4. Step 4: Simplify right side
    250,229.25x = 271,643,706,830.25
  5. Step 5: Solve for x
    x = 271,643,706,830.25/250,229.25
  6. Step 6: Final answer
    x = 1,085,579.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.