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Finding the Third Proportional to 254,197 and 542,172

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Solution

The third proportional to 254,197 and 542,172 is: 1,156,388.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,197 : 542,172 = 542,172 : x
  2. Step 2: Convert to fraction form
    254,197/542,172 = 542,172/x
  3. Step 3: Cross multiply
    254,197x = 542,172 × 542,172
  4. Step 4: Simplify right side
    254,197x = 293,950,477,584
  5. Step 5: Solve for x
    x = 293,950,477,584/254,197
  6. Step 6: Final answer
    x = 1,156,388.46

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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.