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Finding the Third Proportional to 144,834 and 302,914

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Solution

The third proportional to 144,834 and 302,914 is: 633,531.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,834 : 302,914 = 302,914 : x
  2. Step 2: Convert to fraction form
    144,834/302,914 = 302,914/x
  3. Step 3: Cross multiply
    144,834x = 302,914 × 302,914
  4. Step 4: Simplify right side
    144,834x = 91,756,891,396
  5. Step 5: Solve for x
    x = 91,756,891,396/144,834
  6. Step 6: Final answer
    x = 633,531.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.