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Finding the Third Proportional to 178,776 and 246,264

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Solution

The third proportional to 178,776 and 246,264 is: 339,228.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,776 : 246,264 = 246,264 : x
  2. Step 2: Convert to fraction form
    178,776/246,264 = 246,264/x
  3. Step 3: Cross multiply
    178,776x = 246,264 × 246,264
  4. Step 4: Simplify right side
    178,776x = 60,645,957,696
  5. Step 5: Solve for x
    x = 60,645,957,696/178,776
  6. Step 6: Final answer
    x = 339,228.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.