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Finding the Third Proportional to 149,594 and 327,268

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Solution

The third proportional to 149,594 and 327,268 is: 715,966.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,594 : 327,268 = 327,268 : x
  2. Step 2: Convert to fraction form
    149,594/327,268 = 327,268/x
  3. Step 3: Cross multiply
    149,594x = 327,268 × 327,268
  4. Step 4: Simplify right side
    149,594x = 107,104,343,824
  5. Step 5: Solve for x
    x = 107,104,343,824/149,594
  6. Step 6: Final answer
    x = 715,966.84

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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.