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Finding the Third Proportional to 187,698.94 and 442,893.56

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Solution

The third proportional to 187,698.94 and 442,893.56 is: 1,045,049.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,698.94 : 442,893.56 = 442,893.56 : x
  2. Step 2: Convert to fraction form
    187,698.94/442,893.56 = 442,893.56/x
  3. Step 3: Cross multiply
    187,698.94x = 442,893.56 × 442,893.56
  4. Step 4: Simplify right side
    187,698.94x = 196,154,707,703.94
  5. Step 5: Solve for x
    x = 196,154,707,703.94/187,698.94
  6. Step 6: Final answer
    x = 1,045,049.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.