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Finding the Third Proportional to 166,969.50 and 371,310

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Solution

The third proportional to 166,969.50 and 371,310 is: 825,726.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,969.50 : 371,310 = 371,310 : x
  2. Step 2: Convert to fraction form
    166,969.50/371,310 = 371,310/x
  3. Step 3: Cross multiply
    166,969.50x = 371,310 × 371,310
  4. Step 4: Simplify right side
    166,969.50x = 137,871,116,100
  5. Step 5: Solve for x
    x = 137,871,116,100/166,969.50
  6. Step 6: Final answer
    x = 825,726.35

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.