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Finding the Third Proportional to 182,029.78 and 284,932.69

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Solution

The third proportional to 182,029.78 and 284,932.69 is: 446,007.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,029.78 : 284,932.69 = 284,932.69 : x
  2. Step 2: Convert to fraction form
    182,029.78/284,932.69 = 284,932.69/x
  3. Step 3: Cross multiply
    182,029.78x = 284,932.69 × 284,932.69
  4. Step 4: Simplify right side
    182,029.78x = 81,186,636,405.97
  5. Step 5: Solve for x
    x = 81,186,636,405.97/182,029.78
  6. Step 6: Final answer
    x = 446,007.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.