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Finding the Third Proportional to 178,474.50 and 262,775.25

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Solution

The third proportional to 178,474.50 and 262,775.25 is: 386,894.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,474.50 : 262,775.25 = 262,775.25 : x
  2. Step 2: Convert to fraction form
    178,474.50/262,775.25 = 262,775.25/x
  3. Step 3: Cross multiply
    178,474.50x = 262,775.25 × 262,775.25
  4. Step 4: Simplify right side
    178,474.50x = 69,050,832,012.56
  5. Step 5: Solve for x
    x = 69,050,832,012.56/178,474.50
  6. Step 6: Final answer
    x = 386,894.67

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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.