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Finding the Third Proportional to 166,858 and 345,544.50

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Solution

The third proportional to 166,858 and 345,544.50 is: 715,584.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,858 : 345,544.50 = 345,544.50 : x
  2. Step 2: Convert to fraction form
    166,858/345,544.50 = 345,544.50/x
  3. Step 3: Cross multiply
    166,858x = 345,544.50 × 345,544.50
  4. Step 4: Simplify right side
    166,858x = 119,401,001,480.25
  5. Step 5: Solve for x
    x = 119,401,001,480.25/166,858
  6. Step 6: Final answer
    x = 715,584.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.