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Finding the Third Proportional to 190,556 and 261,532

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Solution

The third proportional to 190,556 and 261,532 is: 358,944.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,556 : 261,532 = 261,532 : x
  2. Step 2: Convert to fraction form
    190,556/261,532 = 261,532/x
  3. Step 3: Cross multiply
    190,556x = 261,532 × 261,532
  4. Step 4: Simplify right side
    190,556x = 68,398,987,024
  5. Step 5: Solve for x
    x = 68,398,987,024/190,556
  6. Step 6: Final answer
    x = 358,944.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.