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Finding the Third Proportional to 74,224.69 and 175,041.84

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Solution

The third proportional to 74,224.69 and 175,041.84 is: 412,795.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,224.69 : 175,041.84 = 175,041.84 : x
  2. Step 2: Convert to fraction form
    74,224.69/175,041.84 = 175,041.84/x
  3. Step 3: Cross multiply
    74,224.69x = 175,041.84 × 175,041.84
  4. Step 4: Simplify right side
    74,224.69x = 30,639,647,063.40
  5. Step 5: Solve for x
    x = 30,639,647,063.40/74,224.69
  6. Step 6: Final answer
    x = 412,795.91

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Why These Related Problems?

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