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Finding the Third Proportional to 139,164 and 300,556

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Solution

The third proportional to 139,164 and 300,556 is: 649,118.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,164 : 300,556 = 300,556 : x
  2. Step 2: Convert to fraction form
    139,164/300,556 = 300,556/x
  3. Step 3: Cross multiply
    139,164x = 300,556 × 300,556
  4. Step 4: Simplify right side
    139,164x = 90,333,909,136
  5. Step 5: Solve for x
    x = 90,333,909,136/139,164
  6. Step 6: Final answer
    x = 649,118.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.