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Finding the Third Proportional to 166,105 and 389,957

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Solution

The third proportional to 166,105 and 389,957 is: 915,483.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,105 : 389,957 = 389,957 : x
  2. Step 2: Convert to fraction form
    166,105/389,957 = 389,957/x
  3. Step 3: Cross multiply
    166,105x = 389,957 × 389,957
  4. Step 4: Simplify right side
    166,105x = 152,066,461,849
  5. Step 5: Solve for x
    x = 152,066,461,849/166,105
  6. Step 6: Final answer
    x = 915,483.95

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.