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Finding the Third Proportional to 154,748.81 and 339,020.44

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Solution

The third proportional to 154,748.81 and 339,020.44 is: 742,718.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,748.81 : 339,020.44 = 339,020.44 : x
  2. Step 2: Convert to fraction form
    154,748.81/339,020.44 = 339,020.44/x
  3. Step 3: Cross multiply
    154,748.81x = 339,020.44 × 339,020.44
  4. Step 4: Simplify right side
    154,748.81x = 114,934,857,042.69
  5. Step 5: Solve for x
    x = 114,934,857,042.69/154,748.81
  6. Step 6: Final answer
    x = 742,718.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.