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Finding the Third Proportional to 200,742 and 310,999

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Solution

The third proportional to 200,742 and 310,999 is: 481,814.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,742 : 310,999 = 310,999 : x
  2. Step 2: Convert to fraction form
    200,742/310,999 = 310,999/x
  3. Step 3: Cross multiply
    200,742x = 310,999 × 310,999
  4. Step 4: Simplify right side
    200,742x = 96,720,378,001
  5. Step 5: Solve for x
    x = 96,720,378,001/200,742
  6. Step 6: Final answer
    x = 481,814.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.