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Finding the Third Proportional to 160,678 and 349,964

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Solution

The third proportional to 160,678 and 349,964 is: 762,237.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,678 : 349,964 = 349,964 : x
  2. Step 2: Convert to fraction form
    160,678/349,964 = 349,964/x
  3. Step 3: Cross multiply
    160,678x = 349,964 × 349,964
  4. Step 4: Simplify right side
    160,678x = 122,474,801,296
  5. Step 5: Solve for x
    x = 122,474,801,296/160,678
  6. Step 6: Final answer
    x = 762,237.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.