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Finding the Third Proportional to 248,515.50 and 541,023

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Solution

The third proportional to 248,515.50 and 541,023 is: 1,177,817.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,515.50 : 541,023 = 541,023 : x
  2. Step 2: Convert to fraction form
    248,515.50/541,023 = 541,023/x
  3. Step 3: Cross multiply
    248,515.50x = 541,023 × 541,023
  4. Step 4: Simplify right side
    248,515.50x = 292,705,886,529
  5. Step 5: Solve for x
    x = 292,705,886,529/248,515.50
  6. Step 6: Final answer
    x = 1,177,817.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.