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Finding the Third Proportional to 195,713 and 272,321.50

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Solution

The third proportional to 195,713 and 272,321.50 is: 378,917.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,713 : 272,321.50 = 272,321.50 : x
  2. Step 2: Convert to fraction form
    195,713/272,321.50 = 272,321.50/x
  3. Step 3: Cross multiply
    195,713x = 272,321.50 × 272,321.50
  4. Step 4: Simplify right side
    195,713x = 74,158,999,362.25
  5. Step 5: Solve for x
    x = 74,158,999,362.25/195,713
  6. Step 6: Final answer
    x = 378,917.08

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.