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Finding the Third Proportional to 84,634 and 200,514

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Solution

The third proportional to 84,634 and 200,514 is: 475,055.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,634 : 200,514 = 200,514 : x
  2. Step 2: Convert to fraction form
    84,634/200,514 = 200,514/x
  3. Step 3: Cross multiply
    84,634x = 200,514 × 200,514
  4. Step 4: Simplify right side
    84,634x = 40,205,864,196
  5. Step 5: Solve for x
    x = 40,205,864,196/84,634
  6. Step 6: Final answer
    x = 475,055.70

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.