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Finding the Third Proportional to 176,401 and 387,918

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Solution

The third proportional to 176,401 and 387,918 is: 853,058.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,401 : 387,918 = 387,918 : x
  2. Step 2: Convert to fraction form
    176,401/387,918 = 387,918/x
  3. Step 3: Cross multiply
    176,401x = 387,918 × 387,918
  4. Step 4: Simplify right side
    176,401x = 150,480,374,724
  5. Step 5: Solve for x
    x = 150,480,374,724/176,401
  6. Step 6: Final answer
    x = 853,058.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.