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Finding the Third Proportional to 241,327.50 and 317,346.75

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Solution

The third proportional to 241,327.50 and 317,346.75 is: 417,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,327.50 : 317,346.75 = 317,346.75 : x
  2. Step 2: Convert to fraction form
    241,327.50/317,346.75 = 317,346.75/x
  3. Step 3: Cross multiply
    241,327.50x = 317,346.75 × 317,346.75
  4. Step 4: Simplify right side
    241,327.50x = 100,708,959,735.56
  5. Step 5: Solve for x
    x = 100,708,959,735.56/241,327.50
  6. Step 6: Final answer
    x = 417,312.41

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.