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Finding the Third Proportional to 251,305 and 546,242

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Solution

The third proportional to 251,305 and 546,242 is: 1,187,323.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,305 : 546,242 = 546,242 : x
  2. Step 2: Convert to fraction form
    251,305/546,242 = 546,242/x
  3. Step 3: Cross multiply
    251,305x = 546,242 × 546,242
  4. Step 4: Simplify right side
    251,305x = 298,380,322,564
  5. Step 5: Solve for x
    x = 298,380,322,564/251,305
  6. Step 6: Final answer
    x = 1,187,323.46

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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.