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Finding the Third Proportional to 241,338 and 317,359.50

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Solution

The third proportional to 241,338 and 317,359.50 is: 417,327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,338 : 317,359.50 = 317,359.50 : x
  2. Step 2: Convert to fraction form
    241,338/317,359.50 = 317,359.50/x
  3. Step 3: Cross multiply
    241,338x = 317,359.50 × 317,359.50
  4. Step 4: Simplify right side
    241,338x = 100,717,052,240.25
  5. Step 5: Solve for x
    x = 100,717,052,240.25/241,338
  6. Step 6: Final answer
    x = 417,327.78

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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.