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Finding the Third Proportional to 185,099.63 and 270,637.88

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Solution

The third proportional to 185,099.63 and 270,637.88 is: 395,705.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,099.63 : 270,637.88 = 270,637.88 : x
  2. Step 2: Convert to fraction form
    185,099.63/270,637.88 = 270,637.88/x
  3. Step 3: Cross multiply
    185,099.63x = 270,637.88 × 270,637.88
  4. Step 4: Simplify right side
    185,099.63x = 73,244,859,384.52
  5. Step 5: Solve for x
    x = 73,244,859,384.52/185,099.63
  6. Step 6: Final answer
    x = 395,705.07

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.