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Finding the Third Proportional to 178,290 and 388,566

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Solution

The third proportional to 178,290 and 388,566 is: 846,842.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,290 : 388,566 = 388,566 : x
  2. Step 2: Convert to fraction form
    178,290/388,566 = 388,566/x
  3. Step 3: Cross multiply
    178,290x = 388,566 × 388,566
  4. Step 4: Simplify right side
    178,290x = 150,983,536,356
  5. Step 5: Solve for x
    x = 150,983,536,356/178,290
  6. Step 6: Final answer
    x = 846,842.43

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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.