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Finding the Third Proportional to 200,059.88 and 355,712.77

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Solution

The third proportional to 200,059.88 and 355,712.77 is: 632,468.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,059.88 : 355,712.77 = 355,712.77 : x
  2. Step 2: Convert to fraction form
    200,059.88/355,712.77 = 355,712.77/x
  3. Step 3: Cross multiply
    200,059.88x = 355,712.77 × 355,712.77
  4. Step 4: Simplify right side
    200,059.88x = 126,531,571,628.59
  5. Step 5: Solve for x
    x = 126,531,571,628.59/200,059.88
  6. Step 6: Final answer
    x = 632,468.51

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.