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Finding the Third Proportional to 151,194 and 328,143

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Solution

The third proportional to 151,194 and 328,143 is: 712,183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,194 : 328,143 = 328,143 : x
  2. Step 2: Convert to fraction form
    151,194/328,143 = 328,143/x
  3. Step 3: Cross multiply
    151,194x = 328,143 × 328,143
  4. Step 4: Simplify right side
    151,194x = 107,677,828,449
  5. Step 5: Solve for x
    x = 107,677,828,449/151,194
  6. Step 6: Final answer
    x = 712,183.21

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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.