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Finding the Third Proportional to 169,728 and 353,401.50

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Solution

The third proportional to 169,728 and 353,401.50 is: 735,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,728 : 353,401.50 = 353,401.50 : x
  2. Step 2: Convert to fraction form
    169,728/353,401.50 = 353,401.50/x
  3. Step 3: Cross multiply
    169,728x = 353,401.50 × 353,401.50
  4. Step 4: Simplify right side
    169,728x = 124,892,620,202.25
  5. Step 5: Solve for x
    x = 124,892,620,202.25/169,728
  6. Step 6: Final answer
    x = 735,839.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.