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Finding the Third Proportional to 178,904 and 250,759

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Solution

The third proportional to 178,904 and 250,759 is: 351,473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,904 : 250,759 = 250,759 : x
  2. Step 2: Convert to fraction form
    178,904/250,759 = 250,759/x
  3. Step 3: Cross multiply
    178,904x = 250,759 × 250,759
  4. Step 4: Simplify right side
    178,904x = 62,880,076,081
  5. Step 5: Solve for x
    x = 62,880,076,081/178,904
  6. Step 6: Final answer
    x = 351,473.84

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.