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Finding the Third Proportional to 193,754 and 432,868

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Solution

The third proportional to 193,754 and 432,868 is: 967,075.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,754 : 432,868 = 432,868 : x
  2. Step 2: Convert to fraction form
    193,754/432,868 = 432,868/x
  3. Step 3: Cross multiply
    193,754x = 432,868 × 432,868
  4. Step 4: Simplify right side
    193,754x = 187,374,705,424
  5. Step 5: Solve for x
    x = 187,374,705,424/193,754
  6. Step 6: Final answer
    x = 967,075.29

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.