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Finding the Third Proportional to 178,249 and 371,195

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Solution

The third proportional to 178,249 and 371,195 is: 772,995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,249 : 371,195 = 371,195 : x
  2. Step 2: Convert to fraction form
    178,249/371,195 = 371,195/x
  3. Step 3: Cross multiply
    178,249x = 371,195 × 371,195
  4. Step 4: Simplify right side
    178,249x = 137,785,728,025
  5. Step 5: Solve for x
    x = 137,785,728,025/178,249
  6. Step 6: Final answer
    x = 772,995.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.