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Finding the Third Proportional to 187,795.34 and 397,937.18

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Solution

The third proportional to 187,795.34 and 397,937.18 is: 843,226.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,795.34 : 397,937.18 = 397,937.18 : x
  2. Step 2: Convert to fraction form
    187,795.34/397,937.18 = 397,937.18/x
  3. Step 3: Cross multiply
    187,795.34x = 397,937.18 × 397,937.18
  4. Step 4: Simplify right side
    187,795.34x = 158,353,998,977.64
  5. Step 5: Solve for x
    x = 158,353,998,977.64/187,795.34
  6. Step 6: Final answer
    x = 843,226.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.