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Finding the Third Proportional to 133,050 and 287,204

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Solution

The third proportional to 133,050 and 287,204 is: 619,963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,050 : 287,204 = 287,204 : x
  2. Step 2: Convert to fraction form
    133,050/287,204 = 287,204/x
  3. Step 3: Cross multiply
    133,050x = 287,204 × 287,204
  4. Step 4: Simplify right side
    133,050x = 82,486,137,616
  5. Step 5: Solve for x
    x = 82,486,137,616/133,050
  6. Step 6: Final answer
    x = 619,963.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.