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Finding the Third Proportional to 151,192 and 328,144

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Solution

The third proportional to 151,192 and 328,144 is: 712,196.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,192 : 328,144 = 328,144 : x
  2. Step 2: Convert to fraction form
    151,192/328,144 = 328,144/x
  3. Step 3: Cross multiply
    151,192x = 328,144 × 328,144
  4. Step 4: Simplify right side
    151,192x = 107,678,484,736
  5. Step 5: Solve for x
    x = 107,678,484,736/151,192
  6. Step 6: Final answer
    x = 712,196.97

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