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Finding the Third Proportional to 233,383 and 362,075

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Solution

The third proportional to 233,383 and 362,075 is: 561,730.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,383 : 362,075 = 362,075 : x
  2. Step 2: Convert to fraction form
    233,383/362,075 = 362,075/x
  3. Step 3: Cross multiply
    233,383x = 362,075 × 362,075
  4. Step 4: Simplify right side
    233,383x = 131,098,305,625
  5. Step 5: Solve for x
    x = 131,098,305,625/233,383
  6. Step 6: Final answer
    x = 561,730.31

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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.