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Finding the Third Proportional to 171,086 and 375,708

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Solution

The third proportional to 171,086 and 375,708 is: 825,061.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,086 : 375,708 = 375,708 : x
  2. Step 2: Convert to fraction form
    171,086/375,708 = 375,708/x
  3. Step 3: Cross multiply
    171,086x = 375,708 × 375,708
  4. Step 4: Simplify right side
    171,086x = 141,156,501,264
  5. Step 5: Solve for x
    x = 141,156,501,264/171,086
  6. Step 6: Final answer
    x = 825,061.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.