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Finding the Third Proportional to 178,310 and 388,606

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Solution

The third proportional to 178,310 and 388,606 is: 846,921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,310 : 388,606 = 388,606 : x
  2. Step 2: Convert to fraction form
    178,310/388,606 = 388,606/x
  3. Step 3: Cross multiply
    178,310x = 388,606 × 388,606
  4. Step 4: Simplify right side
    178,310x = 151,014,623,236
  5. Step 5: Solve for x
    x = 151,014,623,236/178,310
  6. Step 6: Final answer
    x = 846,921.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.