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Finding the Third Proportional to 178,743 and 265,684.50

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Solution

The third proportional to 178,743 and 265,684.50 is: 394,914.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,743 : 265,684.50 = 265,684.50 : x
  2. Step 2: Convert to fraction form
    178,743/265,684.50 = 265,684.50/x
  3. Step 3: Cross multiply
    178,743x = 265,684.50 × 265,684.50
  4. Step 4: Simplify right side
    178,743x = 70,588,253,540.25
  5. Step 5: Solve for x
    x = 70,588,253,540.25/178,743
  6. Step 6: Final answer
    x = 394,914.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.