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Finding the Third Proportional to 172,719.84 and 264,551.06

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Solution

The third proportional to 172,719.84 and 264,551.06 is: 405,206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,719.84 : 264,551.06 = 264,551.06 : x
  2. Step 2: Convert to fraction form
    172,719.84/264,551.06 = 264,551.06/x
  3. Step 3: Cross multiply
    172,719.84x = 264,551.06 × 264,551.06
  4. Step 4: Simplify right side
    172,719.84x = 69,987,264,669.88
  5. Step 5: Solve for x
    x = 69,987,264,669.88/172,719.84
  6. Step 6: Final answer
    x = 405,206.85

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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.