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Finding the Third Proportional to 205,372 and 441,102.50

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Solution

The third proportional to 205,372 and 441,102.50 is: 947,409.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,372 : 441,102.50 = 441,102.50 : x
  2. Step 2: Convert to fraction form
    205,372/441,102.50 = 441,102.50/x
  3. Step 3: Cross multiply
    205,372x = 441,102.50 × 441,102.50
  4. Step 4: Simplify right side
    205,372x = 194,571,415,506.25
  5. Step 5: Solve for x
    x = 194,571,415,506.25/205,372
  6. Step 6: Final answer
    x = 947,409.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.