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Finding the Third Proportional to 178,410.94 and 260,917.88

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Solution

The third proportional to 178,410.94 and 260,917.88 is: 381,580.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,410.94 : 260,917.88 = 260,917.88 : x
  2. Step 2: Convert to fraction form
    178,410.94/260,917.88 = 260,917.88/x
  3. Step 3: Cross multiply
    178,410.94x = 260,917.88 × 260,917.88
  4. Step 4: Simplify right side
    178,410.94x = 68,078,137,494.52
  5. Step 5: Solve for x
    x = 68,078,137,494.52/178,410.94
  6. Step 6: Final answer
    x = 381,580.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.