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Finding the Third Proportional to 172,244 and 369,405

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Solution

The third proportional to 172,244 and 369,405 is: 792,248.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,244 : 369,405 = 369,405 : x
  2. Step 2: Convert to fraction form
    172,244/369,405 = 369,405/x
  3. Step 3: Cross multiply
    172,244x = 369,405 × 369,405
  4. Step 4: Simplify right side
    172,244x = 136,460,054,025
  5. Step 5: Solve for x
    x = 136,460,054,025/172,244
  6. Step 6: Final answer
    x = 792,248.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.