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Finding the Third Proportional to 177,288 and 384,114

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Solution

The third proportional to 177,288 and 384,114 is: 832,225.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,288 : 384,114 = 384,114 : x
  2. Step 2: Convert to fraction form
    177,288/384,114 = 384,114/x
  3. Step 3: Cross multiply
    177,288x = 384,114 × 384,114
  4. Step 4: Simplify right side
    177,288x = 147,543,564,996
  5. Step 5: Solve for x
    x = 147,543,564,996/177,288
  6. Step 6: Final answer
    x = 832,225.33

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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.