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Finding the Third Proportional to 301,153.50 and 441,675

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Solution

The third proportional to 301,153.50 and 441,675 is: 647,765.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,153.50 : 441,675 = 441,675 : x
  2. Step 2: Convert to fraction form
    301,153.50/441,675 = 441,675/x
  3. Step 3: Cross multiply
    301,153.50x = 441,675 × 441,675
  4. Step 4: Simplify right side
    301,153.50x = 195,076,805,625
  5. Step 5: Solve for x
    x = 195,076,805,625/301,153.50
  6. Step 6: Final answer
    x = 647,765.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.