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Finding the Third Proportional to 182,497.50 and 269,007.75

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Solution

The third proportional to 182,497.50 and 269,007.75 is: 396,526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,497.50 : 269,007.75 = 269,007.75 : x
  2. Step 2: Convert to fraction form
    182,497.50/269,007.75 = 269,007.75/x
  3. Step 3: Cross multiply
    182,497.50x = 269,007.75 × 269,007.75
  4. Step 4: Simplify right side
    182,497.50x = 72,365,169,560.06
  5. Step 5: Solve for x
    x = 72,365,169,560.06/182,497.50
  6. Step 6: Final answer
    x = 396,526.91

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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.