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Finding the Third Proportional to 224,969.06 and 316,446.75

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Solution

The third proportional to 224,969.06 and 316,446.75 is: 445,121.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,969.06 : 316,446.75 = 316,446.75 : x
  2. Step 2: Convert to fraction form
    224,969.06/316,446.75 = 316,446.75/x
  3. Step 3: Cross multiply
    224,969.06x = 316,446.75 × 316,446.75
  4. Step 4: Simplify right side
    224,969.06x = 100,138,545,585.56
  5. Step 5: Solve for x
    x = 100,138,545,585.56/224,969.06
  6. Step 6: Final answer
    x = 445,121.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.