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Finding the Third Proportional to 187,698.38 and 442,893.38

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Solution

The third proportional to 187,698.38 and 442,893.38 is: 1,045,051.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,698.38 : 442,893.38 = 442,893.38 : x
  2. Step 2: Convert to fraction form
    187,698.38/442,893.38 = 442,893.38/x
  3. Step 3: Cross multiply
    187,698.38x = 442,893.38 × 442,893.38
  4. Step 4: Simplify right side
    187,698.38x = 196,154,541,618.89
  5. Step 5: Solve for x
    x = 196,154,541,618.89/187,698.38
  6. Step 6: Final answer
    x = 1,045,051.89

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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.