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Finding the Third Proportional to 171,377.25 and 371,356.25

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Solution

The third proportional to 171,377.25 and 371,356.25 is: 804,689.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,377.25 : 371,356.25 = 371,356.25 : x
  2. Step 2: Convert to fraction form
    171,377.25/371,356.25 = 371,356.25/x
  3. Step 3: Cross multiply
    171,377.25x = 371,356.25 × 371,356.25
  4. Step 4: Simplify right side
    171,377.25x = 137,905,464,414.06
  5. Step 5: Solve for x
    x = 137,905,464,414.06/171,377.25
  6. Step 6: Final answer
    x = 804,689.45

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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.