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Finding the Third Proportional to 185,704 and 287,075

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Solution

The third proportional to 185,704 and 287,075 is: 443,781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,704 : 287,075 = 287,075 : x
  2. Step 2: Convert to fraction form
    185,704/287,075 = 287,075/x
  3. Step 3: Cross multiply
    185,704x = 287,075 × 287,075
  4. Step 4: Simplify right side
    185,704x = 82,412,055,625
  5. Step 5: Solve for x
    x = 82,412,055,625/185,704
  6. Step 6: Final answer
    x = 443,781.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.