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Finding the Third Proportional to 176,500.27 and 280,486.55

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Solution

The third proportional to 176,500.27 and 280,486.55 is: 445,737.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,500.27 : 280,486.55 = 280,486.55 : x
  2. Step 2: Convert to fraction form
    176,500.27/280,486.55 = 280,486.55/x
  3. Step 3: Cross multiply
    176,500.27x = 280,486.55 × 280,486.55
  4. Step 4: Simplify right side
    176,500.27x = 78,672,702,977.86
  5. Step 5: Solve for x
    x = 78,672,702,977.86/176,500.27
  6. Step 6: Final answer
    x = 445,737.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.