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Finding the Third Proportional to 148,069.13 and 223,436.25

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Solution

The third proportional to 148,069.13 and 223,436.25 is: 337,165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,069.13 : 223,436.25 = 223,436.25 : x
  2. Step 2: Convert to fraction form
    148,069.13/223,436.25 = 223,436.25/x
  3. Step 3: Cross multiply
    148,069.13x = 223,436.25 × 223,436.25
  4. Step 4: Simplify right side
    148,069.13x = 49,923,757,814.06
  5. Step 5: Solve for x
    x = 49,923,757,814.06/148,069.13
  6. Step 6: Final answer
    x = 337,165.21

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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.