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Finding the Third Proportional to 157,561 and 236,456

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Solution

The third proportional to 157,561 and 236,456 is: 354,855.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,561 : 236,456 = 236,456 : x
  2. Step 2: Convert to fraction form
    157,561/236,456 = 236,456/x
  3. Step 3: Cross multiply
    157,561x = 236,456 × 236,456
  4. Step 4: Simplify right side
    157,561x = 55,911,439,936
  5. Step 5: Solve for x
    x = 55,911,439,936/157,561
  6. Step 6: Final answer
    x = 354,855.83

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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.