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Finding the Third Proportional to 171,693.50 and 371,988

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Solution

The third proportional to 171,693.50 and 371,988 is: 805,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,693.50 : 371,988 = 371,988 : x
  2. Step 2: Convert to fraction form
    171,693.50/371,988 = 371,988/x
  3. Step 3: Cross multiply
    171,693.50x = 371,988 × 371,988
  4. Step 4: Simplify right side
    171,693.50x = 138,375,072,144
  5. Step 5: Solve for x
    x = 138,375,072,144/171,693.50
  6. Step 6: Final answer
    x = 805,942.40

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