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Finding the Third Proportional to 148,578 and 302,916

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Solution

The third proportional to 148,578 and 302,916 is: 617,575.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,578 : 302,916 = 302,916 : x
  2. Step 2: Convert to fraction form
    148,578/302,916 = 302,916/x
  3. Step 3: Cross multiply
    148,578x = 302,916 × 302,916
  4. Step 4: Simplify right side
    148,578x = 91,758,103,056
  5. Step 5: Solve for x
    x = 91,758,103,056/148,578
  6. Step 6: Final answer
    x = 617,575.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.