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Finding the Third Proportional to 118,868 and 253,768

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Solution

The third proportional to 118,868 and 253,768 is: 541,762.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,868 : 253,768 = 253,768 : x
  2. Step 2: Convert to fraction form
    118,868/253,768 = 253,768/x
  3. Step 3: Cross multiply
    118,868x = 253,768 × 253,768
  4. Step 4: Simplify right side
    118,868x = 64,398,197,824
  5. Step 5: Solve for x
    x = 64,398,197,824/118,868
  6. Step 6: Final answer
    x = 541,762.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.