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Finding the Third Proportional to 141,185 and 310,801

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Solution

The third proportional to 141,185 and 310,801 is: 684,189.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,185 : 310,801 = 310,801 : x
  2. Step 2: Convert to fraction form
    141,185/310,801 = 310,801/x
  3. Step 3: Cross multiply
    141,185x = 310,801 × 310,801
  4. Step 4: Simplify right side
    141,185x = 96,597,261,601
  5. Step 5: Solve for x
    x = 96,597,261,601/141,185
  6. Step 6: Final answer
    x = 684,189.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.