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Finding the Third Proportional to 130,183.50 and 285,333

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Solution

The third proportional to 130,183.50 and 285,333 is: 625,385.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,183.50 : 285,333 = 285,333 : x
  2. Step 2: Convert to fraction form
    130,183.50/285,333 = 285,333/x
  3. Step 3: Cross multiply
    130,183.50x = 285,333 × 285,333
  4. Step 4: Simplify right side
    130,183.50x = 81,414,920,889
  5. Step 5: Solve for x
    x = 81,414,920,889/130,183.50
  6. Step 6: Final answer
    x = 625,385.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.