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Finding the Third Proportional to 254,206 and 542,189

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Solution

The third proportional to 254,206 and 542,189 is: 1,156,420.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,206 : 542,189 = 542,189 : x
  2. Step 2: Convert to fraction form
    254,206/542,189 = 542,189/x
  3. Step 3: Cross multiply
    254,206x = 542,189 × 542,189
  4. Step 4: Simplify right side
    254,206x = 293,968,911,721
  5. Step 5: Solve for x
    x = 293,968,911,721/254,206
  6. Step 6: Final answer
    x = 1,156,420.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.