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Finding the Third Proportional to 179,299 and 386,260

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Solution

The third proportional to 179,299 and 386,260 is: 832,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,299 : 386,260 = 386,260 : x
  2. Step 2: Convert to fraction form
    179,299/386,260 = 386,260/x
  3. Step 3: Cross multiply
    179,299x = 386,260 × 386,260
  4. Step 4: Simplify right side
    179,299x = 149,196,787,600
  5. Step 5: Solve for x
    x = 149,196,787,600/179,299
  6. Step 6: Final answer
    x = 832,111.65

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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.