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Finding the Third Proportional to 202,307 and 302,075

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Solution

The third proportional to 202,307 and 302,075 is: 451,043.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,307 : 302,075 = 302,075 : x
  2. Step 2: Convert to fraction form
    202,307/302,075 = 302,075/x
  3. Step 3: Cross multiply
    202,307x = 302,075 × 302,075
  4. Step 4: Simplify right side
    202,307x = 91,249,305,625
  5. Step 5: Solve for x
    x = 91,249,305,625/202,307
  6. Step 6: Final answer
    x = 451,043.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.