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Finding the Third Proportional to 148,533.75 and 318,102.19

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Solution

The third proportional to 148,533.75 and 318,102.19 is: 681,252.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,533.75 : 318,102.19 = 318,102.19 : x
  2. Step 2: Convert to fraction form
    148,533.75/318,102.19 = 318,102.19/x
  3. Step 3: Cross multiply
    148,533.75x = 318,102.19 × 318,102.19
  4. Step 4: Simplify right side
    148,533.75x = 101,189,001,692.29
  5. Step 5: Solve for x
    x = 101,189,001,692.29/148,533.75
  6. Step 6: Final answer
    x = 681,252.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.