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Finding the Third Proportional to 226,749 and 353,908.50

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Solution

The third proportional to 226,749 and 353,908.50 is: 552,378.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,749 : 353,908.50 = 353,908.50 : x
  2. Step 2: Convert to fraction form
    226,749/353,908.50 = 353,908.50/x
  3. Step 3: Cross multiply
    226,749x = 353,908.50 × 353,908.50
  4. Step 4: Simplify right side
    226,749x = 125,251,226,372.25
  5. Step 5: Solve for x
    x = 125,251,226,372.25/226,749
  6. Step 6: Final answer
    x = 552,378.30

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.