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Finding the Third Proportional to 171,504 and 371,628

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Solution

The third proportional to 171,504 and 371,628 is: 805,272.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,504 : 371,628 = 371,628 : x
  2. Step 2: Convert to fraction form
    171,504/371,628 = 371,628/x
  3. Step 3: Cross multiply
    171,504x = 371,628 × 371,628
  4. Step 4: Simplify right side
    171,504x = 138,107,370,384
  5. Step 5: Solve for x
    x = 138,107,370,384/171,504
  6. Step 6: Final answer
    x = 805,272.01

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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.