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Finding the Third Proportional to 140,568 and 306,094

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Solution

The third proportional to 140,568 and 306,094 is: 666,535.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,568 : 306,094 = 306,094 : x
  2. Step 2: Convert to fraction form
    140,568/306,094 = 306,094/x
  3. Step 3: Cross multiply
    140,568x = 306,094 × 306,094
  4. Step 4: Simplify right side
    140,568x = 93,693,536,836
  5. Step 5: Solve for x
    x = 93,693,536,836/140,568
  6. Step 6: Final answer
    x = 666,535.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.