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Finding the Third Proportional to 76,186 and 165,476

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Solution

The third proportional to 76,186 and 165,476 is: 359,413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,186 : 165,476 = 165,476 : x
  2. Step 2: Convert to fraction form
    76,186/165,476 = 165,476/x
  3. Step 3: Cross multiply
    76,186x = 165,476 × 165,476
  4. Step 4: Simplify right side
    76,186x = 27,382,306,576
  5. Step 5: Solve for x
    x = 27,382,306,576/76,186
  6. Step 6: Final answer
    x = 359,413.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.