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Finding the Third Proportional to 200,824 and 310,957

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Solution

The third proportional to 200,824 and 310,957 is: 481,487.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,824 : 310,957 = 310,957 : x
  2. Step 2: Convert to fraction form
    200,824/310,957 = 310,957/x
  3. Step 3: Cross multiply
    200,824x = 310,957 × 310,957
  4. Step 4: Simplify right side
    200,824x = 96,694,255,849
  5. Step 5: Solve for x
    x = 96,694,255,849/200,824
  6. Step 6: Final answer
    x = 481,487.55

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Why These Related Problems?

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