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Finding the Third Proportional to 116,582.63 and 209,175.75

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Solution

The third proportional to 116,582.63 and 209,175.75 is: 375,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,582.63 : 209,175.75 = 209,175.75 : x
  2. Step 2: Convert to fraction form
    116,582.63/209,175.75 = 209,175.75/x
  3. Step 3: Cross multiply
    116,582.63x = 209,175.75 × 209,175.75
  4. Step 4: Simplify right side
    116,582.63x = 43,754,494,388.06
  5. Step 5: Solve for x
    x = 43,754,494,388.06/116,582.63
  6. Step 6: Final answer
    x = 375,308.88

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.