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Finding the Third Proportional to 159,633.75 and 344,181.75

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Solution

The third proportional to 159,633.75 and 344,181.75 is: 742,080.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,633.75 : 344,181.75 = 344,181.75 : x
  2. Step 2: Convert to fraction form
    159,633.75/344,181.75 = 344,181.75/x
  3. Step 3: Cross multiply
    159,633.75x = 344,181.75 × 344,181.75
  4. Step 4: Simplify right side
    159,633.75x = 118,461,077,033.06
  5. Step 5: Solve for x
    x = 118,461,077,033.06/159,633.75
  6. Step 6: Final answer
    x = 742,080.40

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.