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Finding the Third Proportional to 121,754 and 264,244

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Solution

The third proportional to 121,754 and 264,244 is: 573,491.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,754 : 264,244 = 264,244 : x
  2. Step 2: Convert to fraction form
    121,754/264,244 = 264,244/x
  3. Step 3: Cross multiply
    121,754x = 264,244 × 264,244
  4. Step 4: Simplify right side
    121,754x = 69,824,891,536
  5. Step 5: Solve for x
    x = 69,824,891,536/121,754
  6. Step 6: Final answer
    x = 573,491.56

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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.