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Finding the Third Proportional to 117,722 and 254,398

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Solution

The third proportional to 117,722 and 254,398 is: 549,755.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,722 : 254,398 = 254,398 : x
  2. Step 2: Convert to fraction form
    117,722/254,398 = 254,398/x
  3. Step 3: Cross multiply
    117,722x = 254,398 × 254,398
  4. Step 4: Simplify right side
    117,722x = 64,718,342,404
  5. Step 5: Solve for x
    x = 64,718,342,404/117,722
  6. Step 6: Final answer
    x = 549,755.72

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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.