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Finding the Third Proportional to 141,017 and 215,991

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Solution

The third proportional to 141,017 and 215,991 is: 330,826.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,017 : 215,991 = 215,991 : x
  2. Step 2: Convert to fraction form
    141,017/215,991 = 215,991/x
  3. Step 3: Cross multiply
    141,017x = 215,991 × 215,991
  4. Step 4: Simplify right side
    141,017x = 46,652,112,081
  5. Step 5: Solve for x
    x = 46,652,112,081/141,017
  6. Step 6: Final answer
    x = 330,826.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.