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Finding the Third Proportional to 115,356 and 255,762

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Solution

The third proportional to 115,356 and 255,762 is: 567,063.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,356 : 255,762 = 255,762 : x
  2. Step 2: Convert to fraction form
    115,356/255,762 = 255,762/x
  3. Step 3: Cross multiply
    115,356x = 255,762 × 255,762
  4. Step 4: Simplify right side
    115,356x = 65,414,200,644
  5. Step 5: Solve for x
    x = 65,414,200,644/115,356
  6. Step 6: Final answer
    x = 567,063.70

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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.