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Finding the Third Proportional to 172,164 and 284,508

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Solution

The third proportional to 172,164 and 284,508 is: 470,161.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,164 : 284,508 = 284,508 : x
  2. Step 2: Convert to fraction form
    172,164/284,508 = 284,508/x
  3. Step 3: Cross multiply
    172,164x = 284,508 × 284,508
  4. Step 4: Simplify right side
    172,164x = 80,944,802,064
  5. Step 5: Solve for x
    x = 80,944,802,064/172,164
  6. Step 6: Final answer
    x = 470,161.02

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.