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Finding the Third Proportional to 152,291.25 and 327,539.25

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Solution

The third proportional to 152,291.25 and 327,539.25 is: 704,452.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,291.25 : 327,539.25 = 327,539.25 : x
  2. Step 2: Convert to fraction form
    152,291.25/327,539.25 = 327,539.25/x
  3. Step 3: Cross multiply
    152,291.25x = 327,539.25 × 327,539.25
  4. Step 4: Simplify right side
    152,291.25x = 107,281,960,290.56
  5. Step 5: Solve for x
    x = 107,281,960,290.56/152,291.25
  6. Step 6: Final answer
    x = 704,452.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.