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Finding the Third Proportional to 129,870 and 283,558.50

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Solution

The third proportional to 129,870 and 283,558.50 is: 619,122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,870 : 283,558.50 = 283,558.50 : x
  2. Step 2: Convert to fraction form
    129,870/283,558.50 = 283,558.50/x
  3. Step 3: Cross multiply
    129,870x = 283,558.50 × 283,558.50
  4. Step 4: Simplify right side
    129,870x = 80,405,422,922.25
  5. Step 5: Solve for x
    x = 80,405,422,922.25/129,870
  6. Step 6: Final answer
    x = 619,122.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.