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Finding the Third Proportional to 167,321 and 245,401

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Solution

The third proportional to 167,321 and 245,401 is: 359,916.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,321 : 245,401 = 245,401 : x
  2. Step 2: Convert to fraction form
    167,321/245,401 = 245,401/x
  3. Step 3: Cross multiply
    167,321x = 245,401 × 245,401
  4. Step 4: Simplify right side
    167,321x = 60,221,650,801
  5. Step 5: Solve for x
    x = 60,221,650,801/167,321
  6. Step 6: Final answer
    x = 359,916.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.