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Finding the Third Proportional to 188,020 and 410,339

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Solution

The third proportional to 188,020 and 410,339 is: 895,532.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,020 : 410,339 = 410,339 : x
  2. Step 2: Convert to fraction form
    188,020/410,339 = 410,339/x
  3. Step 3: Cross multiply
    188,020x = 410,339 × 410,339
  4. Step 4: Simplify right side
    188,020x = 168,378,094,921
  5. Step 5: Solve for x
    x = 168,378,094,921/188,020
  6. Step 6: Final answer
    x = 895,532.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.