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Finding the Third Proportional to 133,004 and 287,109

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Solution

The third proportional to 133,004 and 287,109 is: 619,767.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,004 : 287,109 = 287,109 : x
  2. Step 2: Convert to fraction form
    133,004/287,109 = 287,109/x
  3. Step 3: Cross multiply
    133,004x = 287,109 × 287,109
  4. Step 4: Simplify right side
    133,004x = 82,431,577,881
  5. Step 5: Solve for x
    x = 82,431,577,881/133,004
  6. Step 6: Final answer
    x = 619,767.66

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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.