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Finding the Third Proportional to 139,180.50 and 298,035

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Solution

The third proportional to 139,180.50 and 298,035 is: 638,199.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,180.50 : 298,035 = 298,035 : x
  2. Step 2: Convert to fraction form
    139,180.50/298,035 = 298,035/x
  3. Step 3: Cross multiply
    139,180.50x = 298,035 × 298,035
  4. Step 4: Simplify right side
    139,180.50x = 88,824,861,225
  5. Step 5: Solve for x
    x = 88,824,861,225/139,180.50
  6. Step 6: Final answer
    x = 638,199.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.