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Finding the Third Proportional to 178,284 and 262,120.50

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Solution

The third proportional to 178,284 and 262,120.50 is: 385,380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,284 : 262,120.50 = 262,120.50 : x
  2. Step 2: Convert to fraction form
    178,284/262,120.50 = 262,120.50/x
  3. Step 3: Cross multiply
    178,284x = 262,120.50 × 262,120.50
  4. Step 4: Simplify right side
    178,284x = 68,707,156,520.25
  5. Step 5: Solve for x
    x = 68,707,156,520.25/178,284
  6. Step 6: Final answer
    x = 385,380.38

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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.