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Finding the Third Proportional to 191,450.25 and 408,964.50

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Solution

The third proportional to 191,450.25 and 408,964.50 is: 873,605.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,450.25 : 408,964.50 = 408,964.50 : x
  2. Step 2: Convert to fraction form
    191,450.25/408,964.50 = 408,964.50/x
  3. Step 3: Cross multiply
    191,450.25x = 408,964.50 × 408,964.50
  4. Step 4: Simplify right side
    191,450.25x = 167,251,962,260.25
  5. Step 5: Solve for x
    x = 167,251,962,260.25/191,450.25
  6. Step 6: Final answer
    x = 873,605.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.