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Finding the Third Proportional to 166,318 and 260,603.75

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Solution

The third proportional to 166,318 and 260,603.75 is: 408,340.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,318 : 260,603.75 = 260,603.75 : x
  2. Step 2: Convert to fraction form
    166,318/260,603.75 = 260,603.75/x
  3. Step 3: Cross multiply
    166,318x = 260,603.75 × 260,603.75
  4. Step 4: Simplify right side
    166,318x = 67,914,314,514.06
  5. Step 5: Solve for x
    x = 67,914,314,514.06/166,318
  6. Step 6: Final answer
    x = 408,340.13

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.