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Finding the Third Proportional to 188,280 and 413,875

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Solution

The third proportional to 188,280 and 413,875 is: 909,775.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,280 : 413,875 = 413,875 : x
  2. Step 2: Convert to fraction form
    188,280/413,875 = 413,875/x
  3. Step 3: Cross multiply
    188,280x = 413,875 × 413,875
  4. Step 4: Simplify right side
    188,280x = 171,292,515,625
  5. Step 5: Solve for x
    x = 171,292,515,625/188,280
  6. Step 6: Final answer
    x = 909,775.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.