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Finding the Third Proportional to 115,668 and 253,476

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Solution

The third proportional to 115,668 and 253,476 is: 555,469.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,668 : 253,476 = 253,476 : x
  2. Step 2: Convert to fraction form
    115,668/253,476 = 253,476/x
  3. Step 3: Cross multiply
    115,668x = 253,476 × 253,476
  4. Step 4: Simplify right side
    115,668x = 64,250,082,576
  5. Step 5: Solve for x
    x = 64,250,082,576/115,668
  6. Step 6: Final answer
    x = 555,469.82

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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.