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Finding the Third Proportional to 79,900 and 174,833

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Solution

The third proportional to 79,900 and 174,833 is: 382,560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,900 : 174,833 = 174,833 : x
  2. Step 2: Convert to fraction form
    79,900/174,833 = 174,833/x
  3. Step 3: Cross multiply
    79,900x = 174,833 × 174,833
  4. Step 4: Simplify right side
    79,900x = 30,566,577,889
  5. Step 5: Solve for x
    x = 30,566,577,889/79,900
  6. Step 6: Final answer
    x = 382,560.42

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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.