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Finding the Third Proportional to 148,851 and 223,614

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Solution

The third proportional to 148,851 and 223,614 is: 335,928.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,851 : 223,614 = 223,614 : x
  2. Step 2: Convert to fraction form
    148,851/223,614 = 223,614/x
  3. Step 3: Cross multiply
    148,851x = 223,614 × 223,614
  4. Step 4: Simplify right side
    148,851x = 50,003,220,996
  5. Step 5: Solve for x
    x = 50,003,220,996/148,851
  6. Step 6: Final answer
    x = 335,928.02

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Why These Related Problems?

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