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Finding the Third Proportional to 183,264 and 290,736

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Solution

The third proportional to 183,264 and 290,736 is: 461,233.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,264 : 290,736 = 290,736 : x
  2. Step 2: Convert to fraction form
    183,264/290,736 = 290,736/x
  3. Step 3: Cross multiply
    183,264x = 290,736 × 290,736
  4. Step 4: Simplify right side
    183,264x = 84,527,421,696
  5. Step 5: Solve for x
    x = 84,527,421,696/183,264
  6. Step 6: Final answer
    x = 461,233.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.