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Finding the Third Proportional to 191,403.75 and 419,439.75

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Solution

The third proportional to 191,403.75 and 419,439.75 is: 919,154.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,403.75 : 419,439.75 = 419,439.75 : x
  2. Step 2: Convert to fraction form
    191,403.75/419,439.75 = 419,439.75/x
  3. Step 3: Cross multiply
    191,403.75x = 419,439.75 × 419,439.75
  4. Step 4: Simplify right side
    191,403.75x = 175,929,703,880.06
  5. Step 5: Solve for x
    x = 175,929,703,880.06/191,403.75
  6. Step 6: Final answer
    x = 919,154.95

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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.