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Finding the Third Proportional to 178,594 and 270,187

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Solution

The third proportional to 178,594 and 270,187 is: 408,754.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,594 : 270,187 = 270,187 : x
  2. Step 2: Convert to fraction form
    178,594/270,187 = 270,187/x
  3. Step 3: Cross multiply
    178,594x = 270,187 × 270,187
  4. Step 4: Simplify right side
    178,594x = 73,001,014,969
  5. Step 5: Solve for x
    x = 73,001,014,969/178,594
  6. Step 6: Final answer
    x = 408,754.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.