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Finding the Third Proportional to 178,612 and 246,046

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Solution

The third proportional to 178,612 and 246,046 is: 338,939.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,612 : 246,046 = 246,046 : x
  2. Step 2: Convert to fraction form
    178,612/246,046 = 246,046/x
  3. Step 3: Cross multiply
    178,612x = 246,046 × 246,046
  4. Step 4: Simplify right side
    178,612x = 60,538,634,116
  5. Step 5: Solve for x
    x = 60,538,634,116/178,612
  6. Step 6: Final answer
    x = 338,939.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.