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Finding the Third Proportional to 178,783 and 265,081

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Solution

The third proportional to 178,783 and 265,081 is: 393,034.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,783 : 265,081 = 265,081 : x
  2. Step 2: Convert to fraction form
    178,783/265,081 = 265,081/x
  3. Step 3: Cross multiply
    178,783x = 265,081 × 265,081
  4. Step 4: Simplify right side
    178,783x = 70,267,936,561
  5. Step 5: Solve for x
    x = 70,267,936,561/178,783
  6. Step 6: Final answer
    x = 393,034.78

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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.