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Finding the Third Proportional to 178,917.94 and 385,858.88

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Solution

The third proportional to 178,917.94 and 385,858.88 is: 832,152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,917.94 : 385,858.88 = 385,858.88 : x
  2. Step 2: Convert to fraction form
    178,917.94/385,858.88 = 385,858.88/x
  3. Step 3: Cross multiply
    178,917.94x = 385,858.88 × 385,858.88
  4. Step 4: Simplify right side
    178,917.94x = 148,887,071,416.27
  5. Step 5: Solve for x
    x = 148,887,071,416.27/178,917.94
  6. Step 6: Final answer
    x = 832,152.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.