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Finding the Third Proportional to 148,065.75 and 238,450.50

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Solution

The third proportional to 148,065.75 and 238,450.50 is: 384,009.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,065.75 : 238,450.50 = 238,450.50 : x
  2. Step 2: Convert to fraction form
    148,065.75/238,450.50 = 238,450.50/x
  3. Step 3: Cross multiply
    148,065.75x = 238,450.50 × 238,450.50
  4. Step 4: Simplify right side
    148,065.75x = 56,858,640,950.25
  5. Step 5: Solve for x
    x = 56,858,640,950.25/148,065.75
  6. Step 6: Final answer
    x = 384,009.41

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.