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Finding the Third Proportional to 202,229 and 434,986

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Solution

The third proportional to 202,229 and 434,986 is: 935,636.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,229 : 434,986 = 434,986 : x
  2. Step 2: Convert to fraction form
    202,229/434,986 = 434,986/x
  3. Step 3: Cross multiply
    202,229x = 434,986 × 434,986
  4. Step 4: Simplify right side
    202,229x = 189,212,820,196
  5. Step 5: Solve for x
    x = 189,212,820,196/202,229
  6. Step 6: Final answer
    x = 935,636.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.