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Finding the Third Proportional to 178,826 and 265,147

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Solution

The third proportional to 178,826 and 265,147 is: 393,135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,826 : 265,147 = 265,147 : x
  2. Step 2: Convert to fraction form
    178,826/265,147 = 265,147/x
  3. Step 3: Cross multiply
    178,826x = 265,147 × 265,147
  4. Step 4: Simplify right side
    178,826x = 70,302,931,609
  5. Step 5: Solve for x
    x = 70,302,931,609/178,826
  6. Step 6: Final answer
    x = 393,135.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.