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Finding the Third Proportional to 160,353 and 346,401

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Solution

The third proportional to 160,353 and 346,401 is: 748,309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,353 : 346,401 = 346,401 : x
  2. Step 2: Convert to fraction form
    160,353/346,401 = 346,401/x
  3. Step 3: Cross multiply
    160,353x = 346,401 × 346,401
  4. Step 4: Simplify right side
    160,353x = 119,993,652,801
  5. Step 5: Solve for x
    x = 119,993,652,801/160,353
  6. Step 6: Final answer
    x = 748,309.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.