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Finding the Third Proportional to 114,779.25 and 248,001.75

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Solution

The third proportional to 114,779.25 and 248,001.75 is: 535,853.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,779.25 : 248,001.75 = 248,001.75 : x
  2. Step 2: Convert to fraction form
    114,779.25/248,001.75 = 248,001.75/x
  3. Step 3: Cross multiply
    114,779.25x = 248,001.75 × 248,001.75
  4. Step 4: Simplify right side
    114,779.25x = 61,504,868,003.06
  5. Step 5: Solve for x
    x = 61,504,868,003.06/114,779.25
  6. Step 6: Final answer
    x = 535,853.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.