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Finding the Third Proportional to 254,022.50 and 568,189

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Solution

The third proportional to 254,022.50 and 568,189 is: 1,270,906.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,022.50 : 568,189 = 568,189 : x
  2. Step 2: Convert to fraction form
    254,022.50/568,189 = 568,189/x
  3. Step 3: Cross multiply
    254,022.50x = 568,189 × 568,189
  4. Step 4: Simplify right side
    254,022.50x = 322,838,739,721
  5. Step 5: Solve for x
    x = 322,838,739,721/254,022.50
  6. Step 6: Final answer
    x = 1,270,906.08

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.