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Finding the Third Proportional to 152,966 and 328,075

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Solution

The third proportional to 152,966 and 328,075 is: 703,641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,966 : 328,075 = 328,075 : x
  2. Step 2: Convert to fraction form
    152,966/328,075 = 328,075/x
  3. Step 3: Cross multiply
    152,966x = 328,075 × 328,075
  4. Step 4: Simplify right side
    152,966x = 107,633,205,625
  5. Step 5: Solve for x
    x = 107,633,205,625/152,966
  6. Step 6: Final answer
    x = 703,641.37

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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.