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Finding the Third Proportional to 114,211.90 and 167,422.25

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Solution

The third proportional to 114,211.90 and 167,422.25 is: 245,422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,211.90 : 167,422.25 = 167,422.25 : x
  2. Step 2: Convert to fraction form
    114,211.90/167,422.25 = 167,422.25/x
  3. Step 3: Cross multiply
    114,211.90x = 167,422.25 × 167,422.25
  4. Step 4: Simplify right side
    114,211.90x = 28,030,211,103.05
  5. Step 5: Solve for x
    x = 28,030,211,103.05/114,211.90
  6. Step 6: Final answer
    x = 245,422.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.