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Finding the Third Proportional to 144,422 and 347,903

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Solution

The third proportional to 144,422 and 347,903 is: 838,075.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,422 : 347,903 = 347,903 : x
  2. Step 2: Convert to fraction form
    144,422/347,903 = 347,903/x
  3. Step 3: Cross multiply
    144,422x = 347,903 × 347,903
  4. Step 4: Simplify right side
    144,422x = 121,036,497,409
  5. Step 5: Solve for x
    x = 121,036,497,409/144,422
  6. Step 6: Final answer
    x = 838,075.21

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.