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Finding the Third Proportional to 188,821.13 and 288,162

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Solution

The third proportional to 188,821.13 and 288,162 is: 439,767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,821.13 : 288,162 = 288,162 : x
  2. Step 2: Convert to fraction form
    188,821.13/288,162 = 288,162/x
  3. Step 3: Cross multiply
    188,821.13x = 288,162 × 288,162
  4. Step 4: Simplify right side
    188,821.13x = 83,037,338,244
  5. Step 5: Solve for x
    x = 83,037,338,244/188,821.13
  6. Step 6: Final answer
    x = 439,767.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.