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Finding the Third Proportional to 184,473 and 280,538

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Solution

The third proportional to 184,473 and 280,538 is: 426,629.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,473 : 280,538 = 280,538 : x
  2. Step 2: Convert to fraction form
    184,473/280,538 = 280,538/x
  3. Step 3: Cross multiply
    184,473x = 280,538 × 280,538
  4. Step 4: Simplify right side
    184,473x = 78,701,569,444
  5. Step 5: Solve for x
    x = 78,701,569,444/184,473
  6. Step 6: Final answer
    x = 426,629.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.