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Finding the Third Proportional to 200,100 and 305,232

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Solution

The third proportional to 200,100 and 305,232 is: 465,600.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,100 : 305,232 = 305,232 : x
  2. Step 2: Convert to fraction form
    200,100/305,232 = 305,232/x
  3. Step 3: Cross multiply
    200,100x = 305,232 × 305,232
  4. Step 4: Simplify right side
    200,100x = 93,166,573,824
  5. Step 5: Solve for x
    x = 93,166,573,824/200,100
  6. Step 6: Final answer
    x = 465,600.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.