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Finding the Third Proportional to 151,799.25 and 241,266.75

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Solution

The third proportional to 151,799.25 and 241,266.75 is: 383,464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,799.25 : 241,266.75 = 241,266.75 : x
  2. Step 2: Convert to fraction form
    151,799.25/241,266.75 = 241,266.75/x
  3. Step 3: Cross multiply
    151,799.25x = 241,266.75 × 241,266.75
  4. Step 4: Simplify right side
    151,799.25x = 58,209,644,655.56
  5. Step 5: Solve for x
    x = 58,209,644,655.56/151,799.25
  6. Step 6: Final answer
    x = 383,464.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.