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Finding the Third Proportional to 148,738 and 223,438

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Solution

The third proportional to 148,738 and 223,438 is: 335,654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,738 : 223,438 = 223,438 : x
  2. Step 2: Convert to fraction form
    148,738/223,438 = 223,438/x
  3. Step 3: Cross multiply
    148,738x = 223,438 × 223,438
  4. Step 4: Simplify right side
    148,738x = 49,924,539,844
  5. Step 5: Solve for x
    x = 49,924,539,844/148,738
  6. Step 6: Final answer
    x = 335,654.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.