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Finding the Third Proportional to 109,149 and 238,589.25

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Solution

The third proportional to 109,149 and 238,589.25 is: 521,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,149 : 238,589.25 = 238,589.25 : x
  2. Step 2: Convert to fraction form
    109,149/238,589.25 = 238,589.25/x
  3. Step 3: Cross multiply
    109,149x = 238,589.25 × 238,589.25
  4. Step 4: Simplify right side
    109,149x = 56,924,830,215.56
  5. Step 5: Solve for x
    x = 56,924,830,215.56/109,149
  6. Step 6: Final answer
    x = 521,533.23

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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.