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Finding the Third Proportional to 171,090 and 412,173

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Solution

The third proportional to 171,090 and 412,173 is: 992,966.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,090 : 412,173 = 412,173 : x
  2. Step 2: Convert to fraction form
    171,090/412,173 = 412,173/x
  3. Step 3: Cross multiply
    171,090x = 412,173 × 412,173
  4. Step 4: Simplify right side
    171,090x = 169,886,581,929
  5. Step 5: Solve for x
    x = 169,886,581,929/171,090
  6. Step 6: Final answer
    x = 992,966.17

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.