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Finding the Third Proportional to 116,578.13 and 209,170.13

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Solution

The third proportional to 116,578.13 and 209,170.13 is: 375,303.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,578.13 : 209,170.13 = 209,170.13 : x
  2. Step 2: Convert to fraction form
    116,578.13/209,170.13 = 209,170.13/x
  3. Step 3: Cross multiply
    116,578.13x = 209,170.13 × 209,170.13
  4. Step 4: Simplify right side
    116,578.13x = 43,752,141,192.52
  5. Step 5: Solve for x
    x = 43,752,141,192.52/116,578.13
  6. Step 6: Final answer
    x = 375,303.18

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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.