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Finding the Third Proportional to 186,969 and 290,054.25

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Solution

The third proportional to 186,969 and 290,054.25 is: 449,975.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,969 : 290,054.25 = 290,054.25 : x
  2. Step 2: Convert to fraction form
    186,969/290,054.25 = 290,054.25/x
  3. Step 3: Cross multiply
    186,969x = 290,054.25 × 290,054.25
  4. Step 4: Simplify right side
    186,969x = 84,131,467,943.06
  5. Step 5: Solve for x
    x = 84,131,467,943.06/186,969
  6. Step 6: Final answer
    x = 449,975.49

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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.