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Finding the Third Proportional to 248,902.50 and 546,189

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Solution

The third proportional to 248,902.50 and 546,189 is: 1,198,551.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,902.50 : 546,189 = 546,189 : x
  2. Step 2: Convert to fraction form
    248,902.50/546,189 = 546,189/x
  3. Step 3: Cross multiply
    248,902.50x = 546,189 × 546,189
  4. Step 4: Simplify right side
    248,902.50x = 298,322,423,721
  5. Step 5: Solve for x
    x = 298,322,423,721/248,902.50
  6. Step 6: Final answer
    x = 1,198,551.34

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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.