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Finding the Third Proportional to 183,964.29 and 269,889.47

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Solution

The third proportional to 183,964.29 and 269,889.47 is: 395,948.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,964.29 : 269,889.47 = 269,889.47 : x
  2. Step 2: Convert to fraction form
    183,964.29/269,889.47 = 269,889.47/x
  3. Step 3: Cross multiply
    183,964.29x = 269,889.47 × 269,889.47
  4. Step 4: Simplify right side
    183,964.29x = 72,840,325,342.16
  5. Step 5: Solve for x
    x = 72,840,325,342.16/183,964.29
  6. Step 6: Final answer
    x = 395,948.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.