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Finding the Third Proportional to 149,043 and 225,491.50

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Solution

The third proportional to 149,043 and 225,491.50 is: 341,152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,043 : 225,491.50 = 225,491.50 : x
  2. Step 2: Convert to fraction form
    149,043/225,491.50 = 225,491.50/x
  3. Step 3: Cross multiply
    149,043x = 225,491.50 × 225,491.50
  4. Step 4: Simplify right side
    149,043x = 50,846,416,572.25
  5. Step 5: Solve for x
    x = 50,846,416,572.25/149,043
  6. Step 6: Final answer
    x = 341,152.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.