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Finding the Third Proportional to 148,924 and 302,168

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Solution

The third proportional to 148,924 and 302,168 is: 613,101.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,924 : 302,168 = 302,168 : x
  2. Step 2: Convert to fraction form
    148,924/302,168 = 302,168/x
  3. Step 3: Cross multiply
    148,924x = 302,168 × 302,168
  4. Step 4: Simplify right side
    148,924x = 91,305,500,224
  5. Step 5: Solve for x
    x = 91,305,500,224/148,924
  6. Step 6: Final answer
    x = 613,101.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.