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Finding the Third Proportional to 213 and 468

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Solution

The third proportional to 213 and 468 is: 1,028.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213 : 468 = 468 : x
  2. Step 2: Convert to fraction form
    213/468 = 468/x
  3. Step 3: Cross multiply
    213x = 468 × 468
  4. Step 4: Simplify right side
    213x = 219,024
  5. Step 5: Solve for x
    x = 219,024/213
  6. Step 6: Final answer
    x = 1,028.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.