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Finding the Third Proportional to 171,689.50 and 371,980

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Solution

The third proportional to 171,689.50 and 371,980 is: 805,926.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,689.50 : 371,980 = 371,980 : x
  2. Step 2: Convert to fraction form
    171,689.50/371,980 = 371,980/x
  3. Step 3: Cross multiply
    171,689.50x = 371,980 × 371,980
  4. Step 4: Simplify right side
    171,689.50x = 138,369,120,400
  5. Step 5: Solve for x
    x = 138,369,120,400/171,689.50
  6. Step 6: Final answer
    x = 805,926.52

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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.