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Finding the Third Proportional to 106,998 and 230,556

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Solution

The third proportional to 106,998 and 230,556 is: 496,794.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,998 : 230,556 = 230,556 : x
  2. Step 2: Convert to fraction form
    106,998/230,556 = 230,556/x
  3. Step 3: Cross multiply
    106,998x = 230,556 × 230,556
  4. Step 4: Simplify right side
    106,998x = 53,156,069,136
  5. Step 5: Solve for x
    x = 53,156,069,136/106,998
  6. Step 6: Final answer
    x = 496,794.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.