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Finding the Third Proportional to 151,005.94 and 211,661.06

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Solution

The third proportional to 151,005.94 and 211,661.06 is: 296,679.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,005.94 : 211,661.06 = 211,661.06 : x
  2. Step 2: Convert to fraction form
    151,005.94/211,661.06 = 211,661.06/x
  3. Step 3: Cross multiply
    151,005.94x = 211,661.06 × 211,661.06
  4. Step 4: Simplify right side
    151,005.94x = 44,800,405,378.63
  5. Step 5: Solve for x
    x = 44,800,405,378.63/151,005.94
  6. Step 6: Final answer
    x = 296,679.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.