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Finding the Third Proportional to 180,686 and 264,549

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Solution

The third proportional to 180,686 and 264,549 is: 387,335.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,686 : 264,549 = 264,549 : x
  2. Step 2: Convert to fraction form
    180,686/264,549 = 264,549/x
  3. Step 3: Cross multiply
    180,686x = 264,549 × 264,549
  4. Step 4: Simplify right side
    180,686x = 69,986,173,401
  5. Step 5: Solve for x
    x = 69,986,173,401/180,686
  6. Step 6: Final answer
    x = 387,335.89

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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.