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Finding the Third Proportional to 202,213 and 306,104

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Solution

The third proportional to 202,213 and 306,104 is: 463,371.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,213 : 306,104 = 306,104 : x
  2. Step 2: Convert to fraction form
    202,213/306,104 = 306,104/x
  3. Step 3: Cross multiply
    202,213x = 306,104 × 306,104
  4. Step 4: Simplify right side
    202,213x = 93,699,658,816
  5. Step 5: Solve for x
    x = 93,699,658,816/202,213
  6. Step 6: Final answer
    x = 463,371.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.