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Finding the Third Proportional to 84,514 and 186,498

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Solution

The third proportional to 84,514 and 186,498 is: 411,547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,514 : 186,498 = 186,498 : x
  2. Step 2: Convert to fraction form
    84,514/186,498 = 186,498/x
  3. Step 3: Cross multiply
    84,514x = 186,498 × 186,498
  4. Step 4: Simplify right side
    84,514x = 34,781,504,004
  5. Step 5: Solve for x
    x = 34,781,504,004/84,514
  6. Step 6: Final answer
    x = 411,547.25

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.