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Finding the Third Proportional to 117,644 and 256,024

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Solution

The third proportional to 117,644 and 256,024 is: 557,174.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,644 : 256,024 = 256,024 : x
  2. Step 2: Convert to fraction form
    117,644/256,024 = 256,024/x
  3. Step 3: Cross multiply
    117,644x = 256,024 × 256,024
  4. Step 4: Simplify right side
    117,644x = 65,548,288,576
  5. Step 5: Solve for x
    x = 65,548,288,576/117,644
  6. Step 6: Final answer
    x = 557,174.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.