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Finding the Third Proportional to 114,102 and 231,660

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Solution

The third proportional to 114,102 and 231,660 is: 470,336.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,102 : 231,660 = 231,660 : x
  2. Step 2: Convert to fraction form
    114,102/231,660 = 231,660/x
  3. Step 3: Cross multiply
    114,102x = 231,660 × 231,660
  4. Step 4: Simplify right side
    114,102x = 53,666,355,600
  5. Step 5: Solve for x
    x = 53,666,355,600/114,102
  6. Step 6: Final answer
    x = 470,336.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.