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Finding the Third Proportional to 208,542 and 492,186

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Solution

The third proportional to 208,542 and 492,186 is: 1,161,622.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,542 : 492,186 = 492,186 : x
  2. Step 2: Convert to fraction form
    208,542/492,186 = 492,186/x
  3. Step 3: Cross multiply
    208,542x = 492,186 × 492,186
  4. Step 4: Simplify right side
    208,542x = 242,247,058,596
  5. Step 5: Solve for x
    x = 242,247,058,596/208,542
  6. Step 6: Final answer
    x = 1,161,622.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.