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Finding the Third Proportional to 78,446 and 170,491

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Solution

The third proportional to 78,446 and 170,491 is: 370,537.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,446 : 170,491 = 170,491 : x
  2. Step 2: Convert to fraction form
    78,446/170,491 = 170,491/x
  3. Step 3: Cross multiply
    78,446x = 170,491 × 170,491
  4. Step 4: Simplify right side
    78,446x = 29,067,181,081
  5. Step 5: Solve for x
    x = 29,067,181,081/78,446
  6. Step 6: Final answer
    x = 370,537.45

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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.