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Finding the Third Proportional to 170,086 and 372,396.50

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Solution

The third proportional to 170,086 and 372,396.50 is: 815,347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,086 : 372,396.50 = 372,396.50 : x
  2. Step 2: Convert to fraction form
    170,086/372,396.50 = 372,396.50/x
  3. Step 3: Cross multiply
    170,086x = 372,396.50 × 372,396.50
  4. Step 4: Simplify right side
    170,086x = 138,679,153,212.25
  5. Step 5: Solve for x
    x = 138,679,153,212.25/170,086
  6. Step 6: Final answer
    x = 815,347.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.