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Finding the Third Proportional to 175,164.19 and 262,401.19

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Solution

The third proportional to 175,164.19 and 262,401.19 is: 393,084.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,164.19 : 262,401.19 = 262,401.19 : x
  2. Step 2: Convert to fraction form
    175,164.19/262,401.19 = 262,401.19/x
  3. Step 3: Cross multiply
    175,164.19x = 262,401.19 × 262,401.19
  4. Step 4: Simplify right side
    175,164.19x = 68,854,383,201.41
  5. Step 5: Solve for x
    x = 68,854,383,201.41/175,164.19
  6. Step 6: Final answer
    x = 393,084.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.