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Finding the Third Proportional to 187,848 and 442,995

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Solution

The third proportional to 187,848 and 442,995 is: 1,044,698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,848 : 442,995 = 442,995 : x
  2. Step 2: Convert to fraction form
    187,848/442,995 = 442,995/x
  3. Step 3: Cross multiply
    187,848x = 442,995 × 442,995
  4. Step 4: Simplify right side
    187,848x = 196,244,570,025
  5. Step 5: Solve for x
    x = 196,244,570,025/187,848
  6. Step 6: Final answer
    x = 1,044,698.75

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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.