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Finding the Third Proportional to 182,103.75 and 269,622.56

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Solution

The third proportional to 182,103.75 and 269,622.56 is: 399,202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,103.75 : 269,622.56 = 269,622.56 : x
  2. Step 2: Convert to fraction form
    182,103.75/269,622.56 = 269,622.56/x
  3. Step 3: Cross multiply
    182,103.75x = 269,622.56 × 269,622.56
  4. Step 4: Simplify right side
    182,103.75x = 72,696,326,209.07
  5. Step 5: Solve for x
    x = 72,696,326,209.07/182,103.75
  6. Step 6: Final answer
    x = 399,202.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.