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Finding the Third Proportional to 150,142 and 233,823

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Solution

The third proportional to 150,142 and 233,823 is: 364,143.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,142 : 233,823 = 233,823 : x
  2. Step 2: Convert to fraction form
    150,142/233,823 = 233,823/x
  3. Step 3: Cross multiply
    150,142x = 233,823 × 233,823
  4. Step 4: Simplify right side
    150,142x = 54,673,195,329
  5. Step 5: Solve for x
    x = 54,673,195,329/150,142
  6. Step 6: Final answer
    x = 364,143.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.