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Finding the Third Proportional to 74,190.94 and 163,503.56

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Solution

The third proportional to 74,190.94 and 163,503.56 is: 360,332.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,190.94 : 163,503.56 = 163,503.56 : x
  2. Step 2: Convert to fraction form
    74,190.94/163,503.56 = 163,503.56/x
  3. Step 3: Cross multiply
    74,190.94x = 163,503.56 × 163,503.56
  4. Step 4: Simplify right side
    74,190.94x = 26,733,414,950.19
  5. Step 5: Solve for x
    x = 26,733,414,950.19/74,190.94
  6. Step 6: Final answer
    x = 360,332.62

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Why These Related Problems?

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