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Finding the Third Proportional to 116,910 and 253,494

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Solution

The third proportional to 116,910 and 253,494 is: 549,646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,910 : 253,494 = 253,494 : x
  2. Step 2: Convert to fraction form
    116,910/253,494 = 253,494/x
  3. Step 3: Cross multiply
    116,910x = 253,494 × 253,494
  4. Step 4: Simplify right side
    116,910x = 64,259,208,036
  5. Step 5: Solve for x
    x = 64,259,208,036/116,910
  6. Step 6: Final answer
    x = 549,646.81

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