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Finding the Third Proportional to 188,515 and 409,753

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Solution

The third proportional to 188,515 and 409,753 is: 890,632.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,515 : 409,753 = 409,753 : x
  2. Step 2: Convert to fraction form
    188,515/409,753 = 409,753/x
  3. Step 3: Cross multiply
    188,515x = 409,753 × 409,753
  4. Step 4: Simplify right side
    188,515x = 167,897,521,009
  5. Step 5: Solve for x
    x = 167,897,521,009/188,515
  6. Step 6: Final answer
    x = 890,632.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.