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Finding the Third Proportional to 171,642 and 371,593.50

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Solution

The third proportional to 171,642 and 371,593.50 is: 804,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,642 : 371,593.50 = 371,593.50 : x
  2. Step 2: Convert to fraction form
    171,642/371,593.50 = 371,593.50/x
  3. Step 3: Cross multiply
    171,642x = 371,593.50 × 371,593.50
  4. Step 4: Simplify right side
    171,642x = 138,081,729,242.25
  5. Step 5: Solve for x
    x = 138,081,729,242.25/171,642
  6. Step 6: Final answer
    x = 804,475.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.