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Finding the Third Proportional to 177,516 and 389,416

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Solution

The third proportional to 177,516 and 389,416 is: 854,260.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,516 : 389,416 = 389,416 : x
  2. Step 2: Convert to fraction form
    177,516/389,416 = 389,416/x
  3. Step 3: Cross multiply
    177,516x = 389,416 × 389,416
  4. Step 4: Simplify right side
    177,516x = 151,644,821,056
  5. Step 5: Solve for x
    x = 151,644,821,056/177,516
  6. Step 6: Final answer
    x = 854,260.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.