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Finding the Third Proportional to 157,611 and 236,583

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Solution

The third proportional to 157,611 and 236,583 is: 355,124.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,611 : 236,583 = 236,583 : x
  2. Step 2: Convert to fraction form
    157,611/236,583 = 236,583/x
  3. Step 3: Cross multiply
    157,611x = 236,583 × 236,583
  4. Step 4: Simplify right side
    157,611x = 55,971,515,889
  5. Step 5: Solve for x
    x = 55,971,515,889/157,611
  6. Step 6: Final answer
    x = 355,124.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.