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Finding the Third Proportional to 166,701.38 and 359,454.38

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Solution

The third proportional to 166,701.38 and 359,454.38 is: 775,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,701.38 : 359,454.38 = 359,454.38 : x
  2. Step 2: Convert to fraction form
    166,701.38/359,454.38 = 359,454.38/x
  3. Step 3: Cross multiply
    166,701.38x = 359,454.38 × 359,454.38
  4. Step 4: Simplify right side
    166,701.38x = 129,207,447,706.64
  5. Step 5: Solve for x
    x = 129,207,447,706.64/166,701.38
  6. Step 6: Final answer
    x = 775,083.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.