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Finding the Third Proportional to 226,107.28 and 359,916.75

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Solution

The third proportional to 226,107.28 and 359,916.75 is: 572,914.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,107.28 : 359,916.75 = 359,916.75 : x
  2. Step 2: Convert to fraction form
    226,107.28/359,916.75 = 359,916.75/x
  3. Step 3: Cross multiply
    226,107.28x = 359,916.75 × 359,916.75
  4. Step 4: Simplify right side
    226,107.28x = 129,540,066,930.56
  5. Step 5: Solve for x
    x = 129,540,066,930.56/226,107.28
  6. Step 6: Final answer
    x = 572,914.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.