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Finding the Third Proportional to 172,633.50 and 264,964.50

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Solution

The third proportional to 172,633.50 and 264,964.50 is: 406,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,633.50 : 264,964.50 = 264,964.50 : x
  2. Step 2: Convert to fraction form
    172,633.50/264,964.50 = 264,964.50/x
  3. Step 3: Cross multiply
    172,633.50x = 264,964.50 × 264,964.50
  4. Step 4: Simplify right side
    172,633.50x = 70,206,186,260.25
  5. Step 5: Solve for x
    x = 70,206,186,260.25/172,633.50
  6. Step 6: Final answer
    x = 406,677.65

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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.