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Finding the Third Proportional to 171,380 and 371,363

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Solution

The third proportional to 171,380 and 371,363 is: 804,705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,380 : 371,363 = 371,363 : x
  2. Step 2: Convert to fraction form
    171,380/371,363 = 371,363/x
  3. Step 3: Cross multiply
    171,380x = 371,363 × 371,363
  4. Step 4: Simplify right side
    171,380x = 137,910,477,769
  5. Step 5: Solve for x
    x = 137,910,477,769/171,380
  6. Step 6: Final answer
    x = 804,705.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.