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Finding the Third Proportional to 171,168.47 and 369,401.06

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Solution

The third proportional to 171,168.47 and 369,401.06 is: 797,209.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,168.47 : 369,401.06 = 369,401.06 : x
  2. Step 2: Convert to fraction form
    171,168.47/369,401.06 = 369,401.06/x
  3. Step 3: Cross multiply
    171,168.47x = 369,401.06 × 369,401.06
  4. Step 4: Simplify right side
    171,168.47x = 136,457,144,976.13
  5. Step 5: Solve for x
    x = 136,457,144,976.13/171,168.47
  6. Step 6: Final answer
    x = 797,209.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.