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Finding the Third Proportional to 117,836 and 254,350

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Solution

The third proportional to 117,836 and 254,350 is: 549,016.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,836 : 254,350 = 254,350 : x
  2. Step 2: Convert to fraction form
    117,836/254,350 = 254,350/x
  3. Step 3: Cross multiply
    117,836x = 254,350 × 254,350
  4. Step 4: Simplify right side
    117,836x = 64,693,922,500
  5. Step 5: Solve for x
    x = 64,693,922,500/117,836
  6. Step 6: Final answer
    x = 549,016.62

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Why These Related Problems?

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