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Finding the Third Proportional to 191,130 and 303,645

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Solution

The third proportional to 191,130 and 303,645 is: 482,395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,130 : 303,645 = 303,645 : x
  2. Step 2: Convert to fraction form
    191,130/303,645 = 303,645/x
  3. Step 3: Cross multiply
    191,130x = 303,645 × 303,645
  4. Step 4: Simplify right side
    191,130x = 92,200,286,025
  5. Step 5: Solve for x
    x = 92,200,286,025/191,130
  6. Step 6: Final answer
    x = 482,395.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.