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Finding the Third Proportional to 248,923.50 and 546,231

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Solution

The third proportional to 248,923.50 and 546,231 is: 1,198,634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,923.50 : 546,231 = 546,231 : x
  2. Step 2: Convert to fraction form
    248,923.50/546,231 = 546,231/x
  3. Step 3: Cross multiply
    248,923.50x = 546,231 × 546,231
  4. Step 4: Simplify right side
    248,923.50x = 298,368,305,361
  5. Step 5: Solve for x
    x = 298,368,305,361/248,923.50
  6. Step 6: Final answer
    x = 1,198,634.54

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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.