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Finding the Third Proportional to 154,035 and 225,715.50

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Solution

The third proportional to 154,035 and 225,715.50 is: 330,752.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,035 : 225,715.50 = 225,715.50 : x
  2. Step 2: Convert to fraction form
    154,035/225,715.50 = 225,715.50/x
  3. Step 3: Cross multiply
    154,035x = 225,715.50 × 225,715.50
  4. Step 4: Simplify right side
    154,035x = 50,947,486,940.25
  5. Step 5: Solve for x
    x = 50,947,486,940.25/154,035
  6. Step 6: Final answer
    x = 330,752.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.