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Finding the Third Proportional to 234,937.50 and 355,686

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Solution

The third proportional to 234,937.50 and 355,686 is: 538,494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,937.50 : 355,686 = 355,686 : x
  2. Step 2: Convert to fraction form
    234,937.50/355,686 = 355,686/x
  3. Step 3: Cross multiply
    234,937.50x = 355,686 × 355,686
  4. Step 4: Simplify right side
    234,937.50x = 126,512,530,596
  5. Step 5: Solve for x
    x = 126,512,530,596/234,937.50
  6. Step 6: Final answer
    x = 538,494.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.