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Finding the Third Proportional to 178,981 and 389,563

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Solution

The third proportional to 178,981 and 389,563 is: 847,907.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,981 : 389,563 = 389,563 : x
  2. Step 2: Convert to fraction form
    178,981/389,563 = 389,563/x
  3. Step 3: Cross multiply
    178,981x = 389,563 × 389,563
  4. Step 4: Simplify right side
    178,981x = 151,759,330,969
  5. Step 5: Solve for x
    x = 151,759,330,969/178,981
  6. Step 6: Final answer
    x = 847,907.49

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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.