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Finding the Third Proportional to 171,341 and 371,284

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Solution

The third proportional to 171,341 and 371,284 is: 804,546.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,341 : 371,284 = 371,284 : x
  2. Step 2: Convert to fraction form
    171,341/371,284 = 371,284/x
  3. Step 3: Cross multiply
    171,341x = 371,284 × 371,284
  4. Step 4: Simplify right side
    171,341x = 137,851,808,656
  5. Step 5: Solve for x
    x = 137,851,808,656/171,341
  6. Step 6: Final answer
    x = 804,546.54

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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.