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Finding the Third Proportional to 194,075 and 424,357

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Solution

The third proportional to 194,075 and 424,357 is: 927,882.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,075 : 424,357 = 424,357 : x
  2. Step 2: Convert to fraction form
    194,075/424,357 = 424,357/x
  3. Step 3: Cross multiply
    194,075x = 424,357 × 424,357
  4. Step 4: Simplify right side
    194,075x = 180,078,863,449
  5. Step 5: Solve for x
    x = 180,078,863,449/194,075
  6. Step 6: Final answer
    x = 927,882.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.