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Finding the Third Proportional to 74,479.50 and 175,662

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Solution

The third proportional to 74,479.50 and 175,662 is: 414,303.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,479.50 : 175,662 = 175,662 : x
  2. Step 2: Convert to fraction form
    74,479.50/175,662 = 175,662/x
  3. Step 3: Cross multiply
    74,479.50x = 175,662 × 175,662
  4. Step 4: Simplify right side
    74,479.50x = 30,857,138,244
  5. Step 5: Solve for x
    x = 30,857,138,244/74,479.50
  6. Step 6: Final answer
    x = 414,303.78

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.