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Finding the Third Proportional to 171,354 and 371,307

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Solution

The third proportional to 171,354 and 371,307 is: 804,585.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,354 : 371,307 = 371,307 : x
  2. Step 2: Convert to fraction form
    171,354/371,307 = 371,307/x
  3. Step 3: Cross multiply
    171,354x = 371,307 × 371,307
  4. Step 4: Simplify right side
    171,354x = 137,868,888,249
  5. Step 5: Solve for x
    x = 137,868,888,249/171,354
  6. Step 6: Final answer
    x = 804,585.18

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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.