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Finding the Third Proportional to 150,614 and 326,024

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Solution

The third proportional to 150,614 and 326,024 is: 705,722.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,614 : 326,024 = 326,024 : x
  2. Step 2: Convert to fraction form
    150,614/326,024 = 326,024/x
  3. Step 3: Cross multiply
    150,614x = 326,024 × 326,024
  4. Step 4: Simplify right side
    150,614x = 106,291,648,576
  5. Step 5: Solve for x
    x = 106,291,648,576/150,614
  6. Step 6: Final answer
    x = 705,722.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.