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Finding the Third Proportional to 186,844 and 290,109

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Solution

The third proportional to 186,844 and 290,109 is: 450,446.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,844 : 290,109 = 290,109 : x
  2. Step 2: Convert to fraction form
    186,844/290,109 = 290,109/x
  3. Step 3: Cross multiply
    186,844x = 290,109 × 290,109
  4. Step 4: Simplify right side
    186,844x = 84,163,231,881
  5. Step 5: Solve for x
    x = 84,163,231,881/186,844
  6. Step 6: Final answer
    x = 450,446.53

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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.