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Finding the Third Proportional to 167,061 and 259,078.50

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Solution

The third proportional to 167,061 and 259,078.50 is: 401,779.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,061 : 259,078.50 = 259,078.50 : x
  2. Step 2: Convert to fraction form
    167,061/259,078.50 = 259,078.50/x
  3. Step 3: Cross multiply
    167,061x = 259,078.50 × 259,078.50
  4. Step 4: Simplify right side
    167,061x = 67,121,669,162.25
  5. Step 5: Solve for x
    x = 67,121,669,162.25/167,061
  6. Step 6: Final answer
    x = 401,779.40

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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.