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Finding the Third Proportional to 160,285.50 and 344,688.75

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Solution

The third proportional to 160,285.50 and 344,688.75 is: 741,241.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,285.50 : 344,688.75 = 344,688.75 : x
  2. Step 2: Convert to fraction form
    160,285.50/344,688.75 = 344,688.75/x
  3. Step 3: Cross multiply
    160,285.50x = 344,688.75 × 344,688.75
  4. Step 4: Simplify right side
    160,285.50x = 118,810,334,376.56
  5. Step 5: Solve for x
    x = 118,810,334,376.56/160,285.50
  6. Step 6: Final answer
    x = 741,241.94

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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.