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Finding the Third Proportional to 182,039.06 and 273,058.69

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Solution

The third proportional to 182,039.06 and 273,058.69 is: 409,588.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,039.06 : 273,058.69 = 273,058.69 : x
  2. Step 2: Convert to fraction form
    182,039.06/273,058.69 = 273,058.69/x
  3. Step 3: Cross multiply
    182,039.06x = 273,058.69 × 273,058.69
  4. Step 4: Simplify right side
    182,039.06x = 74,561,046,819.22
  5. Step 5: Solve for x
    x = 74,561,046,819.22/182,039.06
  6. Step 6: Final answer
    x = 409,588.17

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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.