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Finding the Third Proportional to 216,174 and 323,397

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Solution

The third proportional to 216,174 and 323,397 is: 483,802.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,174 : 323,397 = 323,397 : x
  2. Step 2: Convert to fraction form
    216,174/323,397 = 323,397/x
  3. Step 3: Cross multiply
    216,174x = 323,397 × 323,397
  4. Step 4: Simplify right side
    216,174x = 104,585,619,609
  5. Step 5: Solve for x
    x = 104,585,619,609/216,174
  6. Step 6: Final answer
    x = 483,802.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.