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Finding the Third Proportional to 144,824 and 302,878

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Solution

The third proportional to 144,824 and 302,878 is: 633,424.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,824 : 302,878 = 302,878 : x
  2. Step 2: Convert to fraction form
    144,824/302,878 = 302,878/x
  3. Step 3: Cross multiply
    144,824x = 302,878 × 302,878
  4. Step 4: Simplify right side
    144,824x = 91,735,082,884
  5. Step 5: Solve for x
    x = 91,735,082,884/144,824
  6. Step 6: Final answer
    x = 633,424.59

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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.