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Finding the Third Proportional to 157,593 and 236,550

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Solution

The third proportional to 157,593 and 236,550 is: 355,065.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,593 : 236,550 = 236,550 : x
  2. Step 2: Convert to fraction form
    157,593/236,550 = 236,550/x
  3. Step 3: Cross multiply
    157,593x = 236,550 × 236,550
  4. Step 4: Simplify right side
    157,593x = 55,955,902,500
  5. Step 5: Solve for x
    x = 55,955,902,500/157,593
  6. Step 6: Final answer
    x = 355,065.91

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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.