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Finding the Third Proportional to 141,801 and 219,674

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Solution

The third proportional to 141,801 and 219,674 is: 340,312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,801 : 219,674 = 219,674 : x
  2. Step 2: Convert to fraction form
    141,801/219,674 = 219,674/x
  3. Step 3: Cross multiply
    141,801x = 219,674 × 219,674
  4. Step 4: Simplify right side
    141,801x = 48,256,666,276
  5. Step 5: Solve for x
    x = 48,256,666,276/141,801
  6. Step 6: Final answer
    x = 340,312.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.