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Finding the Third Proportional to 174,531 and 380,166

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Solution

The third proportional to 174,531 and 380,166 is: 828,083.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,531 : 380,166 = 380,166 : x
  2. Step 2: Convert to fraction form
    174,531/380,166 = 380,166/x
  3. Step 3: Cross multiply
    174,531x = 380,166 × 380,166
  4. Step 4: Simplify right side
    174,531x = 144,526,187,556
  5. Step 5: Solve for x
    x = 144,526,187,556/174,531
  6. Step 6: Final answer
    x = 828,083.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.