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Finding the Third Proportional to 84,319 and 186,491

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Solution

The third proportional to 84,319 and 186,491 is: 412,468.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,319 : 186,491 = 186,491 : x
  2. Step 2: Convert to fraction form
    84,319/186,491 = 186,491/x
  3. Step 3: Cross multiply
    84,319x = 186,491 × 186,491
  4. Step 4: Simplify right side
    84,319x = 34,778,893,081
  5. Step 5: Solve for x
    x = 34,778,893,081/84,319
  6. Step 6: Final answer
    x = 412,468.04

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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.