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Finding the Third Proportional to 184,024.50 and 269,961

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Solution

The third proportional to 184,024.50 and 269,961 is: 396,028.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,024.50 : 269,961 = 269,961 : x
  2. Step 2: Convert to fraction form
    184,024.50/269,961 = 269,961/x
  3. Step 3: Cross multiply
    184,024.50x = 269,961 × 269,961
  4. Step 4: Simplify right side
    184,024.50x = 72,878,941,521
  5. Step 5: Solve for x
    x = 72,878,941,521/184,024.50
  6. Step 6: Final answer
    x = 396,028.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.