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Finding the Third Proportional to 172,832 and 366,208

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Solution

The third proportional to 172,832 and 366,208 is: 775,946.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,832 : 366,208 = 366,208 : x
  2. Step 2: Convert to fraction form
    172,832/366,208 = 366,208/x
  3. Step 3: Cross multiply
    172,832x = 366,208 × 366,208
  4. Step 4: Simplify right side
    172,832x = 134,108,299,264
  5. Step 5: Solve for x
    x = 134,108,299,264/172,832
  6. Step 6: Final answer
    x = 775,946.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.