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Finding the Third Proportional to 246,075 and 351,886

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Solution

The third proportional to 246,075 and 351,886 is: 503,195.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,075 : 351,886 = 351,886 : x
  2. Step 2: Convert to fraction form
    246,075/351,886 = 351,886/x
  3. Step 3: Cross multiply
    246,075x = 351,886 × 351,886
  4. Step 4: Simplify right side
    246,075x = 123,823,756,996
  5. Step 5: Solve for x
    x = 123,823,756,996/246,075
  6. Step 6: Final answer
    x = 503,195.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.