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Finding the Third Proportional to 251,766 and 546,192

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Solution

The third proportional to 251,766 and 546,192 is: 1,184,932.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,766 : 546,192 = 546,192 : x
  2. Step 2: Convert to fraction form
    251,766/546,192 = 546,192/x
  3. Step 3: Cross multiply
    251,766x = 546,192 × 546,192
  4. Step 4: Simplify right side
    251,766x = 298,325,700,864
  5. Step 5: Solve for x
    x = 298,325,700,864/251,766
  6. Step 6: Final answer
    x = 1,184,932.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.