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Finding the Third Proportional to 240,075 and 343,089

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Solution

The third proportional to 240,075 and 343,089 is: 490,305.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,075 : 343,089 = 343,089 : x
  2. Step 2: Convert to fraction form
    240,075/343,089 = 343,089/x
  3. Step 3: Cross multiply
    240,075x = 343,089 × 343,089
  4. Step 4: Simplify right side
    240,075x = 117,710,061,921
  5. Step 5: Solve for x
    x = 117,710,061,921/240,075
  6. Step 6: Final answer
    x = 490,305.37

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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.