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Finding the Third Proportional to 205,071.75 and 276,058.13

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Solution

The third proportional to 205,071.75 and 276,058.13 is: 371,616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,071.75 : 276,058.13 = 276,058.13 : x
  2. Step 2: Convert to fraction form
    205,071.75/276,058.13 = 276,058.13/x
  3. Step 3: Cross multiply
    205,071.75x = 276,058.13 × 276,058.13
  4. Step 4: Simplify right side
    205,071.75x = 76,208,088,378.52
  5. Step 5: Solve for x
    x = 76,208,088,378.52/205,071.75
  6. Step 6: Final answer
    x = 371,616.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.