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Finding the Third Proportional to 201,255 and 419,046

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Solution

The third proportional to 201,255 and 419,046 is: 872,522.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,255 : 419,046 = 419,046 : x
  2. Step 2: Convert to fraction form
    201,255/419,046 = 419,046/x
  3. Step 3: Cross multiply
    201,255x = 419,046 × 419,046
  4. Step 4: Simplify right side
    201,255x = 175,599,550,116
  5. Step 5: Solve for x
    x = 175,599,550,116/201,255
  6. Step 6: Final answer
    x = 872,522.67

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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.