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Finding the Third Proportional to 135,929.25 and 281,416.50

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Solution

The third proportional to 135,929.25 and 281,416.50 is: 582,621.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,929.25 : 281,416.50 = 281,416.50 : x
  2. Step 2: Convert to fraction form
    135,929.25/281,416.50 = 281,416.50/x
  3. Step 3: Cross multiply
    135,929.25x = 281,416.50 × 281,416.50
  4. Step 4: Simplify right side
    135,929.25x = 79,195,246,472.25
  5. Step 5: Solve for x
    x = 79,195,246,472.25/135,929.25
  6. Step 6: Final answer
    x = 582,621.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.