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Finding the Third Proportional to 180,684 and 264,546

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Solution

The third proportional to 180,684 and 264,546 is: 387,331.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,684 : 264,546 = 264,546 : x
  2. Step 2: Convert to fraction form
    180,684/264,546 = 264,546/x
  3. Step 3: Cross multiply
    180,684x = 264,546 × 264,546
  4. Step 4: Simplify right side
    180,684x = 69,984,586,116
  5. Step 5: Solve for x
    x = 69,984,586,116/180,684
  6. Step 6: Final answer
    x = 387,331.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.