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Finding the Third Proportional to 131,006.50 and 280,705

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Solution

The third proportional to 131,006.50 and 280,705 is: 601,460.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,006.50 : 280,705 = 280,705 : x
  2. Step 2: Convert to fraction form
    131,006.50/280,705 = 280,705/x
  3. Step 3: Cross multiply
    131,006.50x = 280,705 × 280,705
  4. Step 4: Simplify right side
    131,006.50x = 78,795,297,025
  5. Step 5: Solve for x
    x = 78,795,297,025/131,006.50
  6. Step 6: Final answer
    x = 601,460.97

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.