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Finding the Third Proportional to 172,767 and 264,653

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Solution

The third proportional to 172,767 and 264,653 is: 405,408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,767 : 264,653 = 264,653 : x
  2. Step 2: Convert to fraction form
    172,767/264,653 = 264,653/x
  3. Step 3: Cross multiply
    172,767x = 264,653 × 264,653
  4. Step 4: Simplify right side
    172,767x = 70,041,210,409
  5. Step 5: Solve for x
    x = 70,041,210,409/172,767
  6. Step 6: Final answer
    x = 405,408.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.