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Finding the Third Proportional to 213,906 and 245,010

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Solution

The third proportional to 213,906 and 245,010 is: 280,636.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,906 : 245,010 = 245,010 : x
  2. Step 2: Convert to fraction form
    213,906/245,010 = 245,010/x
  3. Step 3: Cross multiply
    213,906x = 245,010 × 245,010
  4. Step 4: Simplify right side
    213,906x = 60,029,900,100
  5. Step 5: Solve for x
    x = 60,029,900,100/213,906
  6. Step 6: Final answer
    x = 280,636.82

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.