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Finding the Third Proportional to 157,596 and 236,556

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Solution

The third proportional to 157,596 and 236,556 is: 355,077.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,596 : 236,556 = 236,556 : x
  2. Step 2: Convert to fraction form
    157,596/236,556 = 236,556/x
  3. Step 3: Cross multiply
    157,596x = 236,556 × 236,556
  4. Step 4: Simplify right side
    157,596x = 55,958,741,136
  5. Step 5: Solve for x
    x = 55,958,741,136/157,596
  6. Step 6: Final answer
    x = 355,077.17

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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.