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Finding the Third Proportional to 186,850 and 290,116

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Solution

The third proportional to 186,850 and 290,116 is: 450,453.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,850 : 290,116 = 290,116 : x
  2. Step 2: Convert to fraction form
    186,850/290,116 = 290,116/x
  3. Step 3: Cross multiply
    186,850x = 290,116 × 290,116
  4. Step 4: Simplify right side
    186,850x = 84,167,293,456
  5. Step 5: Solve for x
    x = 84,167,293,456/186,850
  6. Step 6: Final answer
    x = 450,453.80

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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.