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Finding the Third Proportional to 196,210 and 310,899

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Solution

The third proportional to 196,210 and 310,899 is: 492,626.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,210 : 310,899 = 310,899 : x
  2. Step 2: Convert to fraction form
    196,210/310,899 = 310,899/x
  3. Step 3: Cross multiply
    196,210x = 310,899 × 310,899
  4. Step 4: Simplify right side
    196,210x = 96,658,188,201
  5. Step 5: Solve for x
    x = 96,658,188,201/196,210
  6. Step 6: Final answer
    x = 492,626.21

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.