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Finding the Third Proportional to 149,869.75 and 313,595

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Solution

The third proportional to 149,869.75 and 313,595 is: 656,181.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,869.75 : 313,595 = 313,595 : x
  2. Step 2: Convert to fraction form
    149,869.75/313,595 = 313,595/x
  3. Step 3: Cross multiply
    149,869.75x = 313,595 × 313,595
  4. Step 4: Simplify right side
    149,869.75x = 98,341,824,025
  5. Step 5: Solve for x
    x = 98,341,824,025/149,869.75
  6. Step 6: Final answer
    x = 656,181.94

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.