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Finding the Third Proportional to 121,398 and 262,764

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Solution

The third proportional to 121,398 and 262,764 is: 568,748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,398 : 262,764 = 262,764 : x
  2. Step 2: Convert to fraction form
    121,398/262,764 = 262,764/x
  3. Step 3: Cross multiply
    121,398x = 262,764 × 262,764
  4. Step 4: Simplify right side
    121,398x = 69,044,919,696
  5. Step 5: Solve for x
    x = 69,044,919,696/121,398
  6. Step 6: Final answer
    x = 568,748.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.