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Finding the Third Proportional to 87,440 and 190,452

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Solution

The third proportional to 87,440 and 190,452 is: 414,821.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,440 : 190,452 = 190,452 : x
  2. Step 2: Convert to fraction form
    87,440/190,452 = 190,452/x
  3. Step 3: Cross multiply
    87,440x = 190,452 × 190,452
  4. Step 4: Simplify right side
    87,440x = 36,271,964,304
  5. Step 5: Solve for x
    x = 36,271,964,304/87,440
  6. Step 6: Final answer
    x = 414,821.18

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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.