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Finding the Third Proportional to 116,669 and 186,080

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Solution

The third proportional to 116,669 and 186,080 is: 296,786.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,669 : 186,080 = 186,080 : x
  2. Step 2: Convert to fraction form
    116,669/186,080 = 186,080/x
  3. Step 3: Cross multiply
    116,669x = 186,080 × 186,080
  4. Step 4: Simplify right side
    116,669x = 34,625,766,400
  5. Step 5: Solve for x
    x = 34,625,766,400/116,669
  6. Step 6: Final answer
    x = 296,786.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.