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Finding the Third Proportional to 184,565.25 and 280,580.63

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Solution

The third proportional to 184,565.25 and 280,580.63 is: 426,545.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,565.25 : 280,580.63 = 280,580.63 : x
  2. Step 2: Convert to fraction form
    184,565.25/280,580.63 = 280,580.63/x
  3. Step 3: Cross multiply
    184,565.25x = 280,580.63 × 280,580.63
  4. Step 4: Simplify right side
    184,565.25x = 78,725,487,125.39
  5. Step 5: Solve for x
    x = 78,725,487,125.39/184,565.25
  6. Step 6: Final answer
    x = 426,545.56

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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.