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Finding the Third Proportional to 115,398 and 255,844

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Solution

The third proportional to 115,398 and 255,844 is: 567,220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,398 : 255,844 = 255,844 : x
  2. Step 2: Convert to fraction form
    115,398/255,844 = 255,844/x
  3. Step 3: Cross multiply
    115,398x = 255,844 × 255,844
  4. Step 4: Simplify right side
    115,398x = 65,456,152,336
  5. Step 5: Solve for x
    x = 65,456,152,336/115,398
  6. Step 6: Final answer
    x = 567,220.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.