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Finding the Third Proportional to 133,389.50 and 203,471.50

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Solution

The third proportional to 133,389.50 and 203,471.50 is: 310,374.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,389.50 : 203,471.50 = 203,471.50 : x
  2. Step 2: Convert to fraction form
    133,389.50/203,471.50 = 203,471.50/x
  3. Step 3: Cross multiply
    133,389.50x = 203,471.50 × 203,471.50
  4. Step 4: Simplify right side
    133,389.50x = 41,400,651,312.25
  5. Step 5: Solve for x
    x = 41,400,651,312.25/133,389.50
  6. Step 6: Final answer
    x = 310,374.14

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.