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Finding the Third Proportional to 116,690 and 174,999

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Solution

The third proportional to 116,690 and 174,999 is: 262,444.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,690 : 174,999 = 174,999 : x
  2. Step 2: Convert to fraction form
    116,690/174,999 = 174,999/x
  3. Step 3: Cross multiply
    116,690x = 174,999 × 174,999
  4. Step 4: Simplify right side
    116,690x = 30,624,650,001
  5. Step 5: Solve for x
    x = 30,624,650,001/116,690
  6. Step 6: Final answer
    x = 262,444.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.