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Finding the Third Proportional to 178,979 and 389,559

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Solution

The third proportional to 178,979 and 389,559 is: 847,899.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,979 : 389,559 = 389,559 : x
  2. Step 2: Convert to fraction form
    178,979/389,559 = 389,559/x
  3. Step 3: Cross multiply
    178,979x = 389,559 × 389,559
  4. Step 4: Simplify right side
    178,979x = 151,756,214,481
  5. Step 5: Solve for x
    x = 151,756,214,481/178,979
  6. Step 6: Final answer
    x = 847,899.56

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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.