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Finding the Third Proportional to 171,076 and 375,686

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Solution

The third proportional to 171,076 and 375,686 is: 825,013.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,076 : 375,686 = 375,686 : x
  2. Step 2: Convert to fraction form
    171,076/375,686 = 375,686/x
  3. Step 3: Cross multiply
    171,076x = 375,686 × 375,686
  4. Step 4: Simplify right side
    171,076x = 141,139,970,596
  5. Step 5: Solve for x
    x = 141,139,970,596/171,076
  6. Step 6: Final answer
    x = 825,013.27

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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.