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Finding the Third Proportional to 184,282.50 and 277,722

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Solution

The third proportional to 184,282.50 and 277,722 is: 418,539.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,282.50 : 277,722 = 277,722 : x
  2. Step 2: Convert to fraction form
    184,282.50/277,722 = 277,722/x
  3. Step 3: Cross multiply
    184,282.50x = 277,722 × 277,722
  4. Step 4: Simplify right side
    184,282.50x = 77,129,509,284
  5. Step 5: Solve for x
    x = 77,129,509,284/184,282.50
  6. Step 6: Final answer
    x = 418,539.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.