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Finding the Third Proportional to 183,288.75 and 392,205.38

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Solution

The third proportional to 183,288.75 and 392,205.38 is: 839,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,288.75 : 392,205.38 = 392,205.38 : x
  2. Step 2: Convert to fraction form
    183,288.75/392,205.38 = 392,205.38/x
  3. Step 3: Cross multiply
    183,288.75x = 392,205.38 × 392,205.38
  4. Step 4: Simplify right side
    183,288.75x = 153,825,056,178.89
  5. Step 5: Solve for x
    x = 153,825,056,178.89/183,288.75
  6. Step 6: Final answer
    x = 839,249.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.