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Finding the Third Proportional to 153,745.31 and 337,759.31

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Solution

The third proportional to 153,745.31 and 337,759.31 is: 742,015.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,745.31 : 337,759.31 = 337,759.31 : x
  2. Step 2: Convert to fraction form
    153,745.31/337,759.31 = 337,759.31/x
  3. Step 3: Cross multiply
    153,745.31x = 337,759.31 × 337,759.31
  4. Step 4: Simplify right side
    153,745.31x = 114,081,353,180.47
  5. Step 5: Solve for x
    x = 114,081,353,180.47/153,745.31
  6. Step 6: Final answer
    x = 742,015.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.