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Finding the Third Proportional to 157,611 and 236,574

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Solution

The third proportional to 157,611 and 236,574 is: 355,097.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,611 : 236,574 = 236,574 : x
  2. Step 2: Convert to fraction form
    157,611/236,574 = 236,574/x
  3. Step 3: Cross multiply
    157,611x = 236,574 × 236,574
  4. Step 4: Simplify right side
    157,611x = 55,967,257,476
  5. Step 5: Solve for x
    x = 55,967,257,476/157,611
  6. Step 6: Final answer
    x = 355,097.41

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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.