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Finding the Third Proportional to 166,515.75 and 359,629.88

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Solution

The third proportional to 166,515.75 and 359,629.88 is: 776,705.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,515.75 : 359,629.88 = 359,629.88 : x
  2. Step 2: Convert to fraction form
    166,515.75/359,629.88 = 359,629.88/x
  3. Step 3: Cross multiply
    166,515.75x = 359,629.88 × 359,629.88
  4. Step 4: Simplify right side
    166,515.75x = 129,333,646,992.52
  5. Step 5: Solve for x
    x = 129,333,646,992.52/166,515.75
  6. Step 6: Final answer
    x = 776,705.19

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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.