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Finding the Third Proportional to 80,829 and 190,537

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Solution

The third proportional to 80,829 and 190,537 is: 449,150.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,829 : 190,537 = 190,537 : x
  2. Step 2: Convert to fraction form
    80,829/190,537 = 190,537/x
  3. Step 3: Cross multiply
    80,829x = 190,537 × 190,537
  4. Step 4: Simplify right side
    80,829x = 36,304,348,369
  5. Step 5: Solve for x
    x = 36,304,348,369/80,829
  6. Step 6: Final answer
    x = 449,150.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.