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Finding the Third Proportional to 172,483 and 371,196

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Solution

The third proportional to 172,483 and 371,196 is: 798,840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,483 : 371,196 = 371,196 : x
  2. Step 2: Convert to fraction form
    172,483/371,196 = 371,196/x
  3. Step 3: Cross multiply
    172,483x = 371,196 × 371,196
  4. Step 4: Simplify right side
    172,483x = 137,786,470,416
  5. Step 5: Solve for x
    x = 137,786,470,416/172,483
  6. Step 6: Final answer
    x = 798,840.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.