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Finding the Third Proportional to 174,740 and 382,189

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Solution

The third proportional to 174,740 and 382,189 is: 835,918.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,740 : 382,189 = 382,189 : x
  2. Step 2: Convert to fraction form
    174,740/382,189 = 382,189/x
  3. Step 3: Cross multiply
    174,740x = 382,189 × 382,189
  4. Step 4: Simplify right side
    174,740x = 146,068,431,721
  5. Step 5: Solve for x
    x = 146,068,431,721/174,740
  6. Step 6: Final answer
    x = 835,918.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.