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Finding the Third Proportional to 116,194 and 179,511

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Solution

The third proportional to 116,194 and 179,511 is: 277,331.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,194 : 179,511 = 179,511 : x
  2. Step 2: Convert to fraction form
    116,194/179,511 = 179,511/x
  3. Step 3: Cross multiply
    116,194x = 179,511 × 179,511
  4. Step 4: Simplify right side
    116,194x = 32,224,199,121
  5. Step 5: Solve for x
    x = 32,224,199,121/116,194
  6. Step 6: Final answer
    x = 277,331.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.