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Finding the Third Proportional to 157,622 and 236,598

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Solution

The third proportional to 157,622 and 236,598 is: 355,144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,622 : 236,598 = 236,598 : x
  2. Step 2: Convert to fraction form
    157,622/236,598 = 236,598/x
  3. Step 3: Cross multiply
    157,622x = 236,598 × 236,598
  4. Step 4: Simplify right side
    157,622x = 55,978,613,604
  5. Step 5: Solve for x
    x = 55,978,613,604/157,622
  6. Step 6: Final answer
    x = 355,144.67

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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.