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Finding the Third Proportional to 171,356.25 and 371,312.25

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Solution

The third proportional to 171,356.25 and 371,312.25 is: 804,597.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,356.25 : 371,312.25 = 371,312.25 : x
  2. Step 2: Convert to fraction form
    171,356.25/371,312.25 = 371,312.25/x
  3. Step 3: Cross multiply
    171,356.25x = 371,312.25 × 371,312.25
  4. Step 4: Simplify right side
    171,356.25x = 137,872,787,000.06
  5. Step 5: Solve for x
    x = 137,872,787,000.06/171,356.25
  6. Step 6: Final answer
    x = 804,597.36

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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.