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Finding the Third Proportional to 141,144 and 305,328

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Solution

The third proportional to 141,144 and 305,328 is: 660,496.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,144 : 305,328 = 305,328 : x
  2. Step 2: Convert to fraction form
    141,144/305,328 = 305,328/x
  3. Step 3: Cross multiply
    141,144x = 305,328 × 305,328
  4. Step 4: Simplify right side
    141,144x = 93,225,187,584
  5. Step 5: Solve for x
    x = 93,225,187,584/141,144
  6. Step 6: Final answer
    x = 660,496.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.