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Finding the Third Proportional to 250,233 and 521,200.50

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Solution

The third proportional to 250,233 and 521,200.50 is: 1,085,588.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,233 : 521,200.50 = 521,200.50 : x
  2. Step 2: Convert to fraction form
    250,233/521,200.50 = 521,200.50/x
  3. Step 3: Cross multiply
    250,233x = 521,200.50 × 521,200.50
  4. Step 4: Simplify right side
    250,233x = 271,649,961,200.25
  5. Step 5: Solve for x
    x = 271,649,961,200.25/250,233
  6. Step 6: Final answer
    x = 1,085,588.08

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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.