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Finding the Third Proportional to 117,228 and 256,524

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Solution

The third proportional to 117,228 and 256,524 is: 561,338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,228 : 256,524 = 256,524 : x
  2. Step 2: Convert to fraction form
    117,228/256,524 = 256,524/x
  3. Step 3: Cross multiply
    117,228x = 256,524 × 256,524
  4. Step 4: Simplify right side
    117,228x = 65,804,562,576
  5. Step 5: Solve for x
    x = 65,804,562,576/117,228
  6. Step 6: Final answer
    x = 561,338.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.