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Finding the Third Proportional to 236,611 and 367,071

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Solution

The third proportional to 236,611 and 367,071 is: 569,462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,611 : 367,071 = 367,071 : x
  2. Step 2: Convert to fraction form
    236,611/367,071 = 367,071/x
  3. Step 3: Cross multiply
    236,611x = 367,071 × 367,071
  4. Step 4: Simplify right side
    236,611x = 134,741,119,041
  5. Step 5: Solve for x
    x = 134,741,119,041/236,611
  6. Step 6: Final answer
    x = 569,462.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.