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Finding the Third Proportional to 185,430.50 and 251,891

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Solution

The third proportional to 185,430.50 and 251,891 is: 342,171.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,430.50 : 251,891 = 251,891 : x
  2. Step 2: Convert to fraction form
    185,430.50/251,891 = 251,891/x
  3. Step 3: Cross multiply
    185,430.50x = 251,891 × 251,891
  4. Step 4: Simplify right side
    185,430.50x = 63,449,075,881
  5. Step 5: Solve for x
    x = 63,449,075,881/185,430.50
  6. Step 6: Final answer
    x = 342,171.73

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.