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Finding the Third Proportional to 116,520 and 252,768

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Solution

The third proportional to 116,520 and 252,768 is: 548,332.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,520 : 252,768 = 252,768 : x
  2. Step 2: Convert to fraction form
    116,520/252,768 = 252,768/x
  3. Step 3: Cross multiply
    116,520x = 252,768 × 252,768
  4. Step 4: Simplify right side
    116,520x = 63,891,661,824
  5. Step 5: Solve for x
    x = 63,891,661,824/116,520
  6. Step 6: Final answer
    x = 548,332.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.