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Finding the Third Proportional to 151,999.50 and 338,950.50

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Solution

The third proportional to 151,999.50 and 338,950.50 is: 755,840.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,999.50 : 338,950.50 = 338,950.50 : x
  2. Step 2: Convert to fraction form
    151,999.50/338,950.50 = 338,950.50/x
  3. Step 3: Cross multiply
    151,999.50x = 338,950.50 × 338,950.50
  4. Step 4: Simplify right side
    151,999.50x = 114,887,441,450.25
  5. Step 5: Solve for x
    x = 114,887,441,450.25/151,999.50
  6. Step 6: Final answer
    x = 755,840.92

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.