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Finding the Third Proportional to 209,975.25 and 323,181.75

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Solution

The third proportional to 209,975.25 and 323,181.75 is: 497,422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,975.25 : 323,181.75 = 323,181.75 : x
  2. Step 2: Convert to fraction form
    209,975.25/323,181.75 = 323,181.75/x
  3. Step 3: Cross multiply
    209,975.25x = 323,181.75 × 323,181.75
  4. Step 4: Simplify right side
    209,975.25x = 104,446,443,533.06
  5. Step 5: Solve for x
    x = 104,446,443,533.06/209,975.25
  6. Step 6: Final answer
    x = 497,422.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.