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Finding the Third Proportional to 188,496 and 413,280

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Solution

The third proportional to 188,496 and 413,280 is: 906,121.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,496 : 413,280 = 413,280 : x
  2. Step 2: Convert to fraction form
    188,496/413,280 = 413,280/x
  3. Step 3: Cross multiply
    188,496x = 413,280 × 413,280
  4. Step 4: Simplify right side
    188,496x = 170,800,358,400
  5. Step 5: Solve for x
    x = 170,800,358,400/188,496
  6. Step 6: Final answer
    x = 906,121.93

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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.