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Finding the Third Proportional to 178,612.88 and 385,268.63

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Solution

The third proportional to 178,612.88 and 385,268.63 is: 831,025.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,612.88 : 385,268.63 = 385,268.63 : x
  2. Step 2: Convert to fraction form
    178,612.88/385,268.63 = 385,268.63/x
  3. Step 3: Cross multiply
    178,612.88x = 385,268.63 × 385,268.63
  4. Step 4: Simplify right side
    178,612.88x = 148,431,913,409.39
  5. Step 5: Solve for x
    x = 148,431,913,409.39/178,612.88
  6. Step 6: Final answer
    x = 831,025.83

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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.