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Finding the Third Proportional to 213,014 and 334,149

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Solution

The third proportional to 213,014 and 334,149 is: 524,170.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,014 : 334,149 = 334,149 : x
  2. Step 2: Convert to fraction form
    213,014/334,149 = 334,149/x
  3. Step 3: Cross multiply
    213,014x = 334,149 × 334,149
  4. Step 4: Simplify right side
    213,014x = 111,655,554,201
  5. Step 5: Solve for x
    x = 111,655,554,201/213,014
  6. Step 6: Final answer
    x = 524,170.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.