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Finding the Third Proportional to 218,389.50 and 329,123.25

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Solution

The third proportional to 218,389.50 and 329,123.25 is: 496,004.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,389.50 : 329,123.25 = 329,123.25 : x
  2. Step 2: Convert to fraction form
    218,389.50/329,123.25 = 329,123.25/x
  3. Step 3: Cross multiply
    218,389.50x = 329,123.25 × 329,123.25
  4. Step 4: Simplify right side
    218,389.50x = 108,322,113,690.56
  5. Step 5: Solve for x
    x = 108,322,113,690.56/218,389.50
  6. Step 6: Final answer
    x = 496,004.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.