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Finding the Third Proportional to 171,080 and 412,148

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Solution

The third proportional to 171,080 and 412,148 is: 992,903.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,080 : 412,148 = 412,148 : x
  2. Step 2: Convert to fraction form
    171,080/412,148 = 412,148/x
  3. Step 3: Cross multiply
    171,080x = 412,148 × 412,148
  4. Step 4: Simplify right side
    171,080x = 169,865,973,904
  5. Step 5: Solve for x
    x = 169,865,973,904/171,080
  6. Step 6: Final answer
    x = 992,903.75

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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.