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Finding the Third Proportional to 187,042.50 and 334,399.50

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Solution

The third proportional to 187,042.50 and 334,399.50 is: 597,848.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,042.50 : 334,399.50 = 334,399.50 : x
  2. Step 2: Convert to fraction form
    187,042.50/334,399.50 = 334,399.50/x
  3. Step 3: Cross multiply
    187,042.50x = 334,399.50 × 334,399.50
  4. Step 4: Simplify right side
    187,042.50x = 111,823,025,600.25
  5. Step 5: Solve for x
    x = 111,823,025,600.25/187,042.50
  6. Step 6: Final answer
    x = 597,848.22

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These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.