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Finding the Third Proportional to 165,969 and 230,546.25

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Solution

The third proportional to 165,969 and 230,546.25 is: 320,250.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,969 : 230,546.25 = 230,546.25 : x
  2. Step 2: Convert to fraction form
    165,969/230,546.25 = 230,546.25/x
  3. Step 3: Cross multiply
    165,969x = 230,546.25 × 230,546.25
  4. Step 4: Simplify right side
    165,969x = 53,151,573,389.06
  5. Step 5: Solve for x
    x = 53,151,573,389.06/165,969
  6. Step 6: Final answer
    x = 320,250.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.