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Finding the Third Proportional to 161,682 and 349,176

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Solution

The third proportional to 161,682 and 349,176 is: 754,096.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,682 : 349,176 = 349,176 : x
  2. Step 2: Convert to fraction form
    161,682/349,176 = 349,176/x
  3. Step 3: Cross multiply
    161,682x = 349,176 × 349,176
  4. Step 4: Simplify right side
    161,682x = 121,923,878,976
  5. Step 5: Solve for x
    x = 121,923,878,976/161,682
  6. Step 6: Final answer
    x = 754,096.80

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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.