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Finding the Third Proportional to 144,407 and 223,172

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Solution

The third proportional to 144,407 and 223,172 is: 344,898.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,407 : 223,172 = 223,172 : x
  2. Step 2: Convert to fraction form
    144,407/223,172 = 223,172/x
  3. Step 3: Cross multiply
    144,407x = 223,172 × 223,172
  4. Step 4: Simplify right side
    144,407x = 49,805,741,584
  5. Step 5: Solve for x
    x = 49,805,741,584/144,407
  6. Step 6: Final answer
    x = 344,898.39

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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.