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Finding the Third Proportional to 141,015 and 215,988

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Solution

The third proportional to 141,015 and 215,988 is: 330,821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,015 : 215,988 = 215,988 : x
  2. Step 2: Convert to fraction form
    141,015/215,988 = 215,988/x
  3. Step 3: Cross multiply
    141,015x = 215,988 × 215,988
  4. Step 4: Simplify right side
    141,015x = 46,650,816,144
  5. Step 5: Solve for x
    x = 46,650,816,144/141,015
  6. Step 6: Final answer
    x = 330,821.66

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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.