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Finding the Third Proportional to 185,085.66 and 279,906.61

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Solution

The third proportional to 185,085.66 and 279,906.61 is: 423,305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,085.66 : 279,906.61 = 279,906.61 : x
  2. Step 2: Convert to fraction form
    185,085.66/279,906.61 = 279,906.61/x
  3. Step 3: Cross multiply
    185,085.66x = 279,906.61 × 279,906.61
  4. Step 4: Simplify right side
    185,085.66x = 78,347,709,971.81
  5. Step 5: Solve for x
    x = 78,347,709,971.81/185,085.66
  6. Step 6: Final answer
    x = 423,305.14

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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.