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Finding the Third Proportional to 178,804 and 372,304

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Solution

The third proportional to 178,804 and 372,304 is: 775,207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,804 : 372,304 = 372,304 : x
  2. Step 2: Convert to fraction form
    178,804/372,304 = 372,304/x
  3. Step 3: Cross multiply
    178,804x = 372,304 × 372,304
  4. Step 4: Simplify right side
    178,804x = 138,610,268,416
  5. Step 5: Solve for x
    x = 138,610,268,416/178,804
  6. Step 6: Final answer
    x = 775,207.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.