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Finding the Third Proportional to 141,383 and 185,826

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Solution

The third proportional to 141,383 and 185,826 is: 244,239.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,383 : 185,826 = 185,826 : x
  2. Step 2: Convert to fraction form
    141,383/185,826 = 185,826/x
  3. Step 3: Cross multiply
    141,383x = 185,826 × 185,826
  4. Step 4: Simplify right side
    141,383x = 34,531,302,276
  5. Step 5: Solve for x
    x = 34,531,302,276/141,383
  6. Step 6: Final answer
    x = 244,239.42

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.