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Finding the Third Proportional to 191,533.50 and 303,138

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Solution

The third proportional to 191,533.50 and 303,138 is: 479,773.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,533.50 : 303,138 = 303,138 : x
  2. Step 2: Convert to fraction form
    191,533.50/303,138 = 303,138/x
  3. Step 3: Cross multiply
    191,533.50x = 303,138 × 303,138
  4. Step 4: Simplify right side
    191,533.50x = 91,892,647,044
  5. Step 5: Solve for x
    x = 91,892,647,044/191,533.50
  6. Step 6: Final answer
    x = 479,773.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.