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Finding the Third Proportional to 191,127.94 and 303,642

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Solution

The third proportional to 191,127.94 and 303,642 is: 482,391.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,127.94 : 303,642 = 303,642 : x
  2. Step 2: Convert to fraction form
    191,127.94/303,642 = 303,642/x
  3. Step 3: Cross multiply
    191,127.94x = 303,642 × 303,642
  4. Step 4: Simplify right side
    191,127.94x = 92,198,464,164
  5. Step 5: Solve for x
    x = 92,198,464,164/191,127.94
  6. Step 6: Final answer
    x = 482,391.35

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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.