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Finding the Third Proportional to 177,000 and 382,148

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Solution

The third proportional to 177,000 and 382,148 is: 825,068.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,000 : 382,148 = 382,148 : x
  2. Step 2: Convert to fraction form
    177,000/382,148 = 382,148/x
  3. Step 3: Cross multiply
    177,000x = 382,148 × 382,148
  4. Step 4: Simplify right side
    177,000x = 146,037,093,904
  5. Step 5: Solve for x
    x = 146,037,093,904/177,000
  6. Step 6: Final answer
    x = 825,068.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.