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Finding the Third Proportional to 116,333 and 186,647

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Solution

The third proportional to 116,333 and 186,647 is: 299,460.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,333 : 186,647 = 186,647 : x
  2. Step 2: Convert to fraction form
    116,333/186,647 = 186,647/x
  3. Step 3: Cross multiply
    116,333x = 186,647 × 186,647
  4. Step 4: Simplify right side
    116,333x = 34,837,102,609
  5. Step 5: Solve for x
    x = 34,837,102,609/116,333
  6. Step 6: Final answer
    x = 299,460.19

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.