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Finding the Third Proportional to 248,903 and 546,190

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Solution

The third proportional to 248,903 and 546,190 is: 1,198,553.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,903 : 546,190 = 546,190 : x
  2. Step 2: Convert to fraction form
    248,903/546,190 = 546,190/x
  3. Step 3: Cross multiply
    248,903x = 546,190 × 546,190
  4. Step 4: Simplify right side
    248,903x = 298,323,516,100
  5. Step 5: Solve for x
    x = 298,323,516,100/248,903
  6. Step 6: Final answer
    x = 1,198,553.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.