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Finding the Third Proportional to 173,836.50 and 360,995.25

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Solution

The third proportional to 173,836.50 and 360,995.25 is: 749,655.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,836.50 : 360,995.25 = 360,995.25 : x
  2. Step 2: Convert to fraction form
    173,836.50/360,995.25 = 360,995.25/x
  3. Step 3: Cross multiply
    173,836.50x = 360,995.25 × 360,995.25
  4. Step 4: Simplify right side
    173,836.50x = 130,317,570,522.56
  5. Step 5: Solve for x
    x = 130,317,570,522.56/173,836.50
  6. Step 6: Final answer
    x = 749,655.97

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.