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Finding the Third Proportional to 188,223 and 413,763

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Solution

The third proportional to 188,223 and 413,763 is: 909,558.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,223 : 413,763 = 413,763 : x
  2. Step 2: Convert to fraction form
    188,223/413,763 = 413,763/x
  3. Step 3: Cross multiply
    188,223x = 413,763 × 413,763
  4. Step 4: Simplify right side
    188,223x = 171,199,820,169
  5. Step 5: Solve for x
    x = 171,199,820,169/188,223
  6. Step 6: Final answer
    x = 909,558.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.