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Finding the Third Proportional to 224,965.69 and 336,749.06

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Solution

The third proportional to 224,965.69 and 336,749.06 is: 504,076.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,965.69 : 336,749.06 = 336,749.06 : x
  2. Step 2: Convert to fraction form
    224,965.69/336,749.06 = 336,749.06/x
  3. Step 3: Cross multiply
    224,965.69x = 336,749.06 × 336,749.06
  4. Step 4: Simplify right side
    224,965.69x = 113,399,931,094.63
  5. Step 5: Solve for x
    x = 113,399,931,094.63/224,965.69
  6. Step 6: Final answer
    x = 504,076.57

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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.