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Finding the Third Proportional to 171,080 and 411,632

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Solution

The third proportional to 171,080 and 411,632 is: 990,419.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,080 : 411,632 = 411,632 : x
  2. Step 2: Convert to fraction form
    171,080/411,632 = 411,632/x
  3. Step 3: Cross multiply
    171,080x = 411,632 × 411,632
  4. Step 4: Simplify right side
    171,080x = 169,440,903,424
  5. Step 5: Solve for x
    x = 169,440,903,424/171,080
  6. Step 6: Final answer
    x = 990,419.12

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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.