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Finding the Third Proportional to 200,676 and 310,898

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Solution

The third proportional to 200,676 and 310,898 is: 481,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,676 : 310,898 = 310,898 : x
  2. Step 2: Convert to fraction form
    200,676/310,898 = 310,898/x
  3. Step 3: Cross multiply
    200,676x = 310,898 × 310,898
  4. Step 4: Simplify right side
    200,676x = 96,657,566,404
  5. Step 5: Solve for x
    x = 96,657,566,404/200,676
  6. Step 6: Final answer
    x = 481,659.82

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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.