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Finding the Third Proportional to 187,836 and 407,514

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Solution

The third proportional to 187,836 and 407,514 is: 884,109.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,836 : 407,514 = 407,514 : x
  2. Step 2: Convert to fraction form
    187,836/407,514 = 407,514/x
  3. Step 3: Cross multiply
    187,836x = 407,514 × 407,514
  4. Step 4: Simplify right side
    187,836x = 166,067,660,196
  5. Step 5: Solve for x
    x = 166,067,660,196/187,836
  6. Step 6: Final answer
    x = 884,109.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.