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Finding the Third Proportional to 236,574 and 340,059

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Solution

The third proportional to 236,574 and 340,059 is: 488,811.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,574 : 340,059 = 340,059 : x
  2. Step 2: Convert to fraction form
    236,574/340,059 = 340,059/x
  3. Step 3: Cross multiply
    236,574x = 340,059 × 340,059
  4. Step 4: Simplify right side
    236,574x = 115,640,123,481
  5. Step 5: Solve for x
    x = 115,640,123,481/236,574
  6. Step 6: Final answer
    x = 488,811.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.