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Finding the Third Proportional to 115,056 and 256,896

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Solution

The third proportional to 115,056 and 256,896 is: 573,595.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,056 : 256,896 = 256,896 : x
  2. Step 2: Convert to fraction form
    115,056/256,896 = 256,896/x
  3. Step 3: Cross multiply
    115,056x = 256,896 × 256,896
  4. Step 4: Simplify right side
    115,056x = 65,995,554,816
  5. Step 5: Solve for x
    x = 65,995,554,816/115,056
  6. Step 6: Final answer
    x = 573,595.07

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.