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Finding the Third Proportional to 141,144 and 302,754

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Solution

The third proportional to 141,144 and 302,754 is: 649,407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,144 : 302,754 = 302,754 : x
  2. Step 2: Convert to fraction form
    141,144/302,754 = 302,754/x
  3. Step 3: Cross multiply
    141,144x = 302,754 × 302,754
  4. Step 4: Simplify right side
    141,144x = 91,659,984,516
  5. Step 5: Solve for x
    x = 91,659,984,516/141,144
  6. Step 6: Final answer
    x = 649,407.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.