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Finding the Third Proportional to 159,522 and 350,491

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Solution

The third proportional to 159,522 and 350,491 is: 770,075.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,522 : 350,491 = 350,491 : x
  2. Step 2: Convert to fraction form
    159,522/350,491 = 350,491/x
  3. Step 3: Cross multiply
    159,522x = 350,491 × 350,491
  4. Step 4: Simplify right side
    159,522x = 122,843,941,081
  5. Step 5: Solve for x
    x = 122,843,941,081/159,522
  6. Step 6: Final answer
    x = 770,075.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.