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Finding the Third Proportional to 179,628 and 386,350

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Solution

The third proportional to 179,628 and 386,350 is: 830,974.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,628 : 386,350 = 386,350 : x
  2. Step 2: Convert to fraction form
    179,628/386,350 = 386,350/x
  3. Step 3: Cross multiply
    179,628x = 386,350 × 386,350
  4. Step 4: Simplify right side
    179,628x = 149,266,322,500
  5. Step 5: Solve for x
    x = 149,266,322,500/179,628
  6. Step 6: Final answer
    x = 830,974.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.