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Finding the Third Proportional to 148,309 and 349,946

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Solution

The third proportional to 148,309 and 349,946 is: 825,723.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,309 : 349,946 = 349,946 : x
  2. Step 2: Convert to fraction form
    148,309/349,946 = 349,946/x
  3. Step 3: Cross multiply
    148,309x = 349,946 × 349,946
  4. Step 4: Simplify right side
    148,309x = 122,462,202,916
  5. Step 5: Solve for x
    x = 122,462,202,916/148,309
  6. Step 6: Final answer
    x = 825,723.34

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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.