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Finding the Third Proportional to 133,065 and 288,296

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Solution

The third proportional to 133,065 and 288,296 is: 624,616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,065 : 288,296 = 288,296 : x
  2. Step 2: Convert to fraction form
    133,065/288,296 = 288,296/x
  3. Step 3: Cross multiply
    133,065x = 288,296 × 288,296
  4. Step 4: Simplify right side
    133,065x = 83,114,583,616
  5. Step 5: Solve for x
    x = 83,114,583,616/133,065
  6. Step 6: Final answer
    x = 624,616.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.