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Finding the Third Proportional to 166,922 and 258,857.50

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Solution

The third proportional to 166,922 and 258,857.50 is: 401,428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,922 : 258,857.50 = 258,857.50 : x
  2. Step 2: Convert to fraction form
    166,922/258,857.50 = 258,857.50/x
  3. Step 3: Cross multiply
    166,922x = 258,857.50 × 258,857.50
  4. Step 4: Simplify right side
    166,922x = 67,007,205,306.25
  5. Step 5: Solve for x
    x = 67,007,205,306.25/166,922
  6. Step 6: Final answer
    x = 401,428.24

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.