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Finding the Third Proportional to 201,239.50 and 419,014.50

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Solution

The third proportional to 201,239.50 and 419,014.50 is: 872,458.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,239.50 : 419,014.50 = 419,014.50 : x
  2. Step 2: Convert to fraction form
    201,239.50/419,014.50 = 419,014.50/x
  3. Step 3: Cross multiply
    201,239.50x = 419,014.50 × 419,014.50
  4. Step 4: Simplify right side
    201,239.50x = 175,573,151,210.25
  5. Step 5: Solve for x
    x = 175,573,151,210.25/201,239.50
  6. Step 6: Final answer
    x = 872,458.69

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Why These Related Problems?

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