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Finding the Third Proportional to 178,365.75 and 261,149.75

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Solution

The third proportional to 178,365.75 and 261,149.75 is: 382,355.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,365.75 : 261,149.75 = 261,149.75 : x
  2. Step 2: Convert to fraction form
    178,365.75/261,149.75 = 261,149.75/x
  3. Step 3: Cross multiply
    178,365.75x = 261,149.75 × 261,149.75
  4. Step 4: Simplify right side
    178,365.75x = 68,199,191,925.06
  5. Step 5: Solve for x
    x = 68,199,191,925.06/178,365.75
  6. Step 6: Final answer
    x = 382,355.87

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.