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Finding the Third Proportional to 141,006 and 215,973

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Solution

The third proportional to 141,006 and 215,973 is: 330,796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,006 : 215,973 = 215,973 : x
  2. Step 2: Convert to fraction form
    141,006/215,973 = 215,973/x
  3. Step 3: Cross multiply
    141,006x = 215,973 × 215,973
  4. Step 4: Simplify right side
    141,006x = 46,644,336,729
  5. Step 5: Solve for x
    x = 46,644,336,729/141,006
  6. Step 6: Final answer
    x = 330,796.82

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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.