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Finding the Third Proportional to 187,638.19 and 399,061.69

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Solution

The third proportional to 187,638.19 and 399,061.69 is: 848,709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,638.19 : 399,061.69 = 399,061.69 : x
  2. Step 2: Convert to fraction form
    187,638.19/399,061.69 = 399,061.69/x
  3. Step 3: Cross multiply
    187,638.19x = 399,061.69 × 399,061.69
  4. Step 4: Simplify right side
    187,638.19x = 159,250,230,430.35
  5. Step 5: Solve for x
    x = 159,250,230,430.35/187,638.19
  6. Step 6: Final answer
    x = 848,709.06

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.