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Finding the Third Proportional to 174,513 and 379,927

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Solution

The third proportional to 174,513 and 379,927 is: 827,127.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,513 : 379,927 = 379,927 : x
  2. Step 2: Convert to fraction form
    174,513/379,927 = 379,927/x
  3. Step 3: Cross multiply
    174,513x = 379,927 × 379,927
  4. Step 4: Simplify right side
    174,513x = 144,344,525,329
  5. Step 5: Solve for x
    x = 144,344,525,329/174,513
  6. Step 6: Final answer
    x = 827,127.64

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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.