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Finding the Third Proportional to 191,964.94 and 413,363.25

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Solution

The third proportional to 191,964.94 and 413,363.25 is: 890,106.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,964.94 : 413,363.25 = 413,363.25 : x
  2. Step 2: Convert to fraction form
    191,964.94/413,363.25 = 413,363.25/x
  3. Step 3: Cross multiply
    191,964.94x = 413,363.25 × 413,363.25
  4. Step 4: Simplify right side
    191,964.94x = 170,869,176,450.56
  5. Step 5: Solve for x
    x = 170,869,176,450.56/191,964.94
  6. Step 6: Final answer
    x = 890,106.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.