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Finding the Third Proportional to 144,833 and 302,911

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Solution

The third proportional to 144,833 and 302,911 is: 633,523.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,833 : 302,911 = 302,911 : x
  2. Step 2: Convert to fraction form
    144,833/302,911 = 302,911/x
  3. Step 3: Cross multiply
    144,833x = 302,911 × 302,911
  4. Step 4: Simplify right side
    144,833x = 91,755,073,921
  5. Step 5: Solve for x
    x = 91,755,073,921/144,833
  6. Step 6: Final answer
    x = 633,523.26

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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.