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Finding the Third Proportional to 75,795.75 and 178,598.25

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Solution

The third proportional to 75,795.75 and 178,598.25 is: 420,832.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,795.75 : 178,598.25 = 178,598.25 : x
  2. Step 2: Convert to fraction form
    75,795.75/178,598.25 = 178,598.25/x
  3. Step 3: Cross multiply
    75,795.75x = 178,598.25 × 178,598.25
  4. Step 4: Simplify right side
    75,795.75x = 31,897,334,903.06
  5. Step 5: Solve for x
    x = 31,897,334,903.06/75,795.75
  6. Step 6: Final answer
    x = 420,832.76

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.