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Finding the Third Proportional to 148,749 and 226,612.50

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Solution

The third proportional to 148,749 and 226,612.50 is: 345,234.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,749 : 226,612.50 = 226,612.50 : x
  2. Step 2: Convert to fraction form
    148,749/226,612.50 = 226,612.50/x
  3. Step 3: Cross multiply
    148,749x = 226,612.50 × 226,612.50
  4. Step 4: Simplify right side
    148,749x = 51,353,225,156.25
  5. Step 5: Solve for x
    x = 51,353,225,156.25/148,749
  6. Step 6: Final answer
    x = 345,234.09

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.