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Finding the Third Proportional to 184,741.38 and 277,932.20

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Solution

The third proportional to 184,741.38 and 277,932.20 is: 418,132.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,741.38 : 277,932.20 = 277,932.20 : x
  2. Step 2: Convert to fraction form
    184,741.38/277,932.20 = 277,932.20/x
  3. Step 3: Cross multiply
    184,741.38x = 277,932.20 × 277,932.20
  4. Step 4: Simplify right side
    184,741.38x = 77,246,307,362.57
  5. Step 5: Solve for x
    x = 77,246,307,362.57/184,741.38
  6. Step 6: Final answer
    x = 418,132.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.