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Finding the Third Proportional to 220,924.97 and 340,002.56

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Solution

The third proportional to 220,924.97 and 340,002.56 is: 523,262.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,924.97 : 340,002.56 = 340,002.56 : x
  2. Step 2: Convert to fraction form
    220,924.97/340,002.56 = 340,002.56/x
  3. Step 3: Cross multiply
    220,924.97x = 340,002.56 × 340,002.56
  4. Step 4: Simplify right side
    220,924.97x = 115,601,742,506.57
  5. Step 5: Solve for x
    x = 115,601,742,506.57/220,924.97
  6. Step 6: Final answer
    x = 523,262.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.