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Finding the Third Proportional to 177,681 and 375,318

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Solution

The third proportional to 177,681 and 375,318 is: 792,789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,681 : 375,318 = 375,318 : x
  2. Step 2: Convert to fraction form
    177,681/375,318 = 375,318/x
  3. Step 3: Cross multiply
    177,681x = 375,318 × 375,318
  4. Step 4: Simplify right side
    177,681x = 140,863,601,124
  5. Step 5: Solve for x
    x = 140,863,601,124/177,681
  6. Step 6: Final answer
    x = 792,789.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.