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Finding the Third Proportional to 178,281 and 395,927

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Solution

The third proportional to 178,281 and 395,927 is: 879,275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,281 : 395,927 = 395,927 : x
  2. Step 2: Convert to fraction form
    178,281/395,927 = 395,927/x
  3. Step 3: Cross multiply
    178,281x = 395,927 × 395,927
  4. Step 4: Simplify right side
    178,281x = 156,758,189,329
  5. Step 5: Solve for x
    x = 156,758,189,329/178,281
  6. Step 6: Final answer
    x = 879,275.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.