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Finding the Third Proportional to 119,100 and 256,896

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Solution

The third proportional to 119,100 and 256,896 is: 554,118.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,100 : 256,896 = 256,896 : x
  2. Step 2: Convert to fraction form
    119,100/256,896 = 256,896/x
  3. Step 3: Cross multiply
    119,100x = 256,896 × 256,896
  4. Step 4: Simplify right side
    119,100x = 65,995,554,816
  5. Step 5: Solve for x
    x = 65,995,554,816/119,100
  6. Step 6: Final answer
    x = 554,118.85

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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.