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Finding the Third Proportional to 151,169 and 223,293

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Solution

The third proportional to 151,169 and 223,293 is: 329,827.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,169 : 223,293 = 223,293 : x
  2. Step 2: Convert to fraction form
    151,169/223,293 = 223,293/x
  3. Step 3: Cross multiply
    151,169x = 223,293 × 223,293
  4. Step 4: Simplify right side
    151,169x = 49,859,763,849
  5. Step 5: Solve for x
    x = 49,859,763,849/151,169
  6. Step 6: Final answer
    x = 329,827.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.