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Finding the Third Proportional to 119,081 and 256,857

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Solution

The third proportional to 119,081 and 256,857 is: 554,039.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,081 : 256,857 = 256,857 : x
  2. Step 2: Convert to fraction form
    119,081/256,857 = 256,857/x
  3. Step 3: Cross multiply
    119,081x = 256,857 × 256,857
  4. Step 4: Simplify right side
    119,081x = 65,975,518,449
  5. Step 5: Solve for x
    x = 65,975,518,449/119,081
  6. Step 6: Final answer
    x = 554,039.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.