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Finding the Third Proportional to 183,390.75 and 274,026.38

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Solution

The third proportional to 183,390.75 and 274,026.38 is: 409,456.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,390.75 : 274,026.38 = 274,026.38 : x
  2. Step 2: Convert to fraction form
    183,390.75/274,026.38 = 274,026.38/x
  3. Step 3: Cross multiply
    183,390.75x = 274,026.38 × 274,026.38
  4. Step 4: Simplify right side
    183,390.75x = 75,090,454,195.64
  5. Step 5: Solve for x
    x = 75,090,454,195.64/183,390.75
  6. Step 6: Final answer
    x = 409,456.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.