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Finding the Third Proportional to 117,887 and 254,608

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Solution

The third proportional to 117,887 and 254,608 is: 549,892.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,887 : 254,608 = 254,608 : x
  2. Step 2: Convert to fraction form
    117,887/254,608 = 254,608/x
  3. Step 3: Cross multiply
    117,887x = 254,608 × 254,608
  4. Step 4: Simplify right side
    117,887x = 64,825,233,664
  5. Step 5: Solve for x
    x = 64,825,233,664/117,887
  6. Step 6: Final answer
    x = 549,892.98

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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.