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Finding the Third Proportional to 166,290 and 376,969.50

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Solution

The third proportional to 166,290 and 376,969.50 is: 854,567.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,290 : 376,969.50 = 376,969.50 : x
  2. Step 2: Convert to fraction form
    166,290/376,969.50 = 376,969.50/x
  3. Step 3: Cross multiply
    166,290x = 376,969.50 × 376,969.50
  4. Step 4: Simplify right side
    166,290x = 142,106,003,930.25
  5. Step 5: Solve for x
    x = 142,106,003,930.25/166,290
  6. Step 6: Final answer
    x = 854,567.35

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These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.