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Finding the Third Proportional to 119,018 and 246,784

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Solution

The third proportional to 119,018 and 246,784 is: 511,706.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,018 : 246,784 = 246,784 : x
  2. Step 2: Convert to fraction form
    119,018/246,784 = 246,784/x
  3. Step 3: Cross multiply
    119,018x = 246,784 × 246,784
  4. Step 4: Simplify right side
    119,018x = 60,902,342,656
  5. Step 5: Solve for x
    x = 60,902,342,656/119,018
  6. Step 6: Final answer
    x = 511,706.99

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.