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Finding the Third Proportional to 178,967 and 250,340

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Solution

The third proportional to 178,967 and 250,340 is: 350,176.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,967 : 250,340 = 250,340 : x
  2. Step 2: Convert to fraction form
    178,967/250,340 = 250,340/x
  3. Step 3: Cross multiply
    178,967x = 250,340 × 250,340
  4. Step 4: Simplify right side
    178,967x = 62,670,115,600
  5. Step 5: Solve for x
    x = 62,670,115,600/178,967
  6. Step 6: Final answer
    x = 350,176.94

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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.