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Finding the Third Proportional to 155,512 and 333,075

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Solution

The third proportional to 155,512 and 333,075 is: 713,378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,512 : 333,075 = 333,075 : x
  2. Step 2: Convert to fraction form
    155,512/333,075 = 333,075/x
  3. Step 3: Cross multiply
    155,512x = 333,075 × 333,075
  4. Step 4: Simplify right side
    155,512x = 110,938,955,625
  5. Step 5: Solve for x
    x = 110,938,955,625/155,512
  6. Step 6: Final answer
    x = 713,378.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.