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Finding the Third Proportional to 215,838 and 440,239.50

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Solution

The third proportional to 215,838 and 440,239.50 is: 897,945.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,838 : 440,239.50 = 440,239.50 : x
  2. Step 2: Convert to fraction form
    215,838/440,239.50 = 440,239.50/x
  3. Step 3: Cross multiply
    215,838x = 440,239.50 × 440,239.50
  4. Step 4: Simplify right side
    215,838x = 193,810,817,360.25
  5. Step 5: Solve for x
    x = 193,810,817,360.25/215,838
  6. Step 6: Final answer
    x = 897,945.76

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.