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Finding the Third Proportional to 172,914.75 and 264,619.13

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Solution

The third proportional to 172,914.75 and 264,619.13 is: 404,958.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,914.75 : 264,619.13 = 264,619.13 : x
  2. Step 2: Convert to fraction form
    172,914.75/264,619.13 = 264,619.13/x
  3. Step 3: Cross multiply
    172,914.75x = 264,619.13 × 264,619.13
  4. Step 4: Simplify right side
    172,914.75x = 70,023,281,315.77
  5. Step 5: Solve for x
    x = 70,023,281,315.77/172,914.75
  6. Step 6: Final answer
    x = 404,958.40

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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.