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Finding the Third Proportional to 133,422.75 and 291,467.25

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Solution

The third proportional to 133,422.75 and 291,467.25 is: 636,721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,422.75 : 291,467.25 = 291,467.25 : x
  2. Step 2: Convert to fraction form
    133,422.75/291,467.25 = 291,467.25/x
  3. Step 3: Cross multiply
    133,422.75x = 291,467.25 × 291,467.25
  4. Step 4: Simplify right side
    133,422.75x = 84,953,157,822.56
  5. Step 5: Solve for x
    x = 84,953,157,822.56/133,422.75
  6. Step 6: Final answer
    x = 636,721.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.