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Finding the Third Proportional to 186,847 and 290,112.50

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Solution

The third proportional to 186,847 and 290,112.50 is: 450,450.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,847 : 290,112.50 = 290,112.50 : x
  2. Step 2: Convert to fraction form
    186,847/290,112.50 = 290,112.50/x
  3. Step 3: Cross multiply
    186,847x = 290,112.50 × 290,112.50
  4. Step 4: Simplify right side
    186,847x = 84,165,262,656.25
  5. Step 5: Solve for x
    x = 84,165,262,656.25/186,847
  6. Step 6: Final answer
    x = 450,450.17

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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.