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Finding the Third Proportional to 150,064 and 328,012

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Solution

The third proportional to 150,064 and 328,012 is: 716,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,064 : 328,012 = 328,012 : x
  2. Step 2: Convert to fraction form
    150,064/328,012 = 328,012/x
  3. Step 3: Cross multiply
    150,064x = 328,012 × 328,012
  4. Step 4: Simplify right side
    150,064x = 107,591,872,144
  5. Step 5: Solve for x
    x = 107,591,872,144/150,064
  6. Step 6: Final answer
    x = 716,973.24

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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.