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Finding the Third Proportional to 172,082.25 and 369,075.09

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Solution

The third proportional to 172,082.25 and 369,075.09 is: 791,577.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,082.25 : 369,075.09 = 369,075.09 : x
  2. Step 2: Convert to fraction form
    172,082.25/369,075.09 = 369,075.09/x
  3. Step 3: Cross multiply
    172,082.25x = 369,075.09 × 369,075.09
  4. Step 4: Simplify right side
    172,082.25x = 136,216,424,826.57
  5. Step 5: Solve for x
    x = 136,216,424,826.57/172,082.25
  6. Step 6: Final answer
    x = 791,577.43

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