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Finding the Third Proportional to 178,047 and 237,825

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Solution

The third proportional to 178,047 and 237,825 is: 317,673.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,047 : 237,825 = 237,825 : x
  2. Step 2: Convert to fraction form
    178,047/237,825 = 237,825/x
  3. Step 3: Cross multiply
    178,047x = 237,825 × 237,825
  4. Step 4: Simplify right side
    178,047x = 56,560,730,625
  5. Step 5: Solve for x
    x = 56,560,730,625/178,047
  6. Step 6: Final answer
    x = 317,673.03

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.