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Finding the Third Proportional to 162,204 and 355,986

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Solution

The third proportional to 162,204 and 355,986 is: 781,275.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,204 : 355,986 = 355,986 : x
  2. Step 2: Convert to fraction form
    162,204/355,986 = 355,986/x
  3. Step 3: Cross multiply
    162,204x = 355,986 × 355,986
  4. Step 4: Simplify right side
    162,204x = 126,726,032,196
  5. Step 5: Solve for x
    x = 126,726,032,196/162,204
  6. Step 6: Final answer
    x = 781,275.63

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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.