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Finding the Third Proportional to 178,102.13 and 276,766.88

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Solution

The third proportional to 178,102.13 and 276,766.88 is: 430,089.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,102.13 : 276,766.88 = 276,766.88 : x
  2. Step 2: Convert to fraction form
    178,102.13/276,766.88 = 276,766.88/x
  3. Step 3: Cross multiply
    178,102.13x = 276,766.88 × 276,766.88
  4. Step 4: Simplify right side
    178,102.13x = 76,599,903,097.27
  5. Step 5: Solve for x
    x = 76,599,903,097.27/178,102.13
  6. Step 6: Final answer
    x = 430,089.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.