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Finding the Third Proportional to 163,442 and 225,075

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Solution

The third proportional to 163,442 and 225,075 is: 309,949.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,442 : 225,075 = 225,075 : x
  2. Step 2: Convert to fraction form
    163,442/225,075 = 225,075/x
  3. Step 3: Cross multiply
    163,442x = 225,075 × 225,075
  4. Step 4: Simplify right side
    163,442x = 50,658,755,625
  5. Step 5: Solve for x
    x = 50,658,755,625/163,442
  6. Step 6: Final answer
    x = 309,949.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.