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Finding the Third Proportional to 159,688.50 and 347,725.50

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Solution

The third proportional to 159,688.50 and 347,725.50 is: 757,180.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,688.50 : 347,725.50 = 347,725.50 : x
  2. Step 2: Convert to fraction form
    159,688.50/347,725.50 = 347,725.50/x
  3. Step 3: Cross multiply
    159,688.50x = 347,725.50 × 347,725.50
  4. Step 4: Simplify right side
    159,688.50x = 120,913,023,350.25
  5. Step 5: Solve for x
    x = 120,913,023,350.25/159,688.50
  6. Step 6: Final answer
    x = 757,180.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.