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Finding the Third Proportional to 150,303 and 328,305

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Solution

The third proportional to 150,303 and 328,305 is: 717,112.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,303 : 328,305 = 328,305 : x
  2. Step 2: Convert to fraction form
    150,303/328,305 = 328,305/x
  3. Step 3: Cross multiply
    150,303x = 328,305 × 328,305
  4. Step 4: Simplify right side
    150,303x = 107,784,173,025
  5. Step 5: Solve for x
    x = 107,784,173,025/150,303
  6. Step 6: Final answer
    x = 717,112.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.