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Finding the Third Proportional to 158,734.69 and 211,615.03

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Solution

The third proportional to 158,734.69 and 211,615.03 is: 282,111.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,734.69 : 211,615.03 = 211,615.03 : x
  2. Step 2: Convert to fraction form
    158,734.69/211,615.03 = 211,615.03/x
  3. Step 3: Cross multiply
    158,734.69x = 211,615.03 × 211,615.03
  4. Step 4: Simplify right side
    158,734.69x = 44,780,921,450.94
  5. Step 5: Solve for x
    x = 44,780,921,450.94/158,734.69
  6. Step 6: Final answer
    x = 282,111.76

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.