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Finding the Third Proportional to 255,474 and 542,072.25

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Solution

The third proportional to 255,474 and 542,072.25 is: 1,150,184.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,474 : 542,072.25 = 542,072.25 : x
  2. Step 2: Convert to fraction form
    255,474/542,072.25 = 542,072.25/x
  3. Step 3: Cross multiply
    255,474x = 542,072.25 × 542,072.25
  4. Step 4: Simplify right side
    255,474x = 293,842,324,220.06
  5. Step 5: Solve for x
    x = 293,842,324,220.06/255,474
  6. Step 6: Final answer
    x = 1,150,184.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.