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Finding the Third Proportional to 180,728.75 and 392,612.75

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Solution

The third proportional to 180,728.75 and 392,612.75 is: 852,906.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,728.75 : 392,612.75 = 392,612.75 : x
  2. Step 2: Convert to fraction form
    180,728.75/392,612.75 = 392,612.75/x
  3. Step 3: Cross multiply
    180,728.75x = 392,612.75 × 392,612.75
  4. Step 4: Simplify right side
    180,728.75x = 154,144,771,462.56
  5. Step 5: Solve for x
    x = 154,144,771,462.56/180,728.75
  6. Step 6: Final answer
    x = 852,906.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.