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Finding the Third Proportional to 144,888.75 and 317,221.31

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Solution

The third proportional to 144,888.75 and 317,221.31 is: 694,528.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,888.75 : 317,221.31 = 317,221.31 : x
  2. Step 2: Convert to fraction form
    144,888.75/317,221.31 = 317,221.31/x
  3. Step 3: Cross multiply
    144,888.75x = 317,221.31 × 317,221.31
  4. Step 4: Simplify right side
    144,888.75x = 100,629,361,104.22
  5. Step 5: Solve for x
    x = 100,629,361,104.22/144,888.75
  6. Step 6: Final answer
    x = 694,528.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.