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Finding the Third Proportional to 148,394 and 349,950

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Solution

The third proportional to 148,394 and 349,950 is: 825,269.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,394 : 349,950 = 349,950 : x
  2. Step 2: Convert to fraction form
    148,394/349,950 = 349,950/x
  3. Step 3: Cross multiply
    148,394x = 349,950 × 349,950
  4. Step 4: Simplify right side
    148,394x = 122,465,002,500
  5. Step 5: Solve for x
    x = 122,465,002,500/148,394
  6. Step 6: Final answer
    x = 825,269.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.