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Finding the Third Proportional to 82,776.25 and 184,289

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Solution

The third proportional to 82,776.25 and 184,289 is: 410,292.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,776.25 : 184,289 = 184,289 : x
  2. Step 2: Convert to fraction form
    82,776.25/184,289 = 184,289/x
  3. Step 3: Cross multiply
    82,776.25x = 184,289 × 184,289
  4. Step 4: Simplify right side
    82,776.25x = 33,962,435,521
  5. Step 5: Solve for x
    x = 33,962,435,521/82,776.25
  6. Step 6: Final answer
    x = 410,292.03

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.