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Finding the Third Proportional to 150,953 and 328,114

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Solution

The third proportional to 150,953 and 328,114 is: 713,194.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,953 : 328,114 = 328,114 : x
  2. Step 2: Convert to fraction form
    150,953/328,114 = 328,114/x
  3. Step 3: Cross multiply
    150,953x = 328,114 × 328,114
  4. Step 4: Simplify right side
    150,953x = 107,658,796,996
  5. Step 5: Solve for x
    x = 107,658,796,996/150,953
  6. Step 6: Final answer
    x = 713,194.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.