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Finding the Third Proportional to 186,940.41 and 407,714.77

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Solution

The third proportional to 186,940.41 and 407,714.77 is: 889,220.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,940.41 : 407,714.77 = 407,714.77 : x
  2. Step 2: Convert to fraction form
    186,940.41/407,714.77 = 407,714.77/x
  3. Step 3: Cross multiply
    186,940.41x = 407,714.77 × 407,714.77
  4. Step 4: Simplify right side
    186,940.41x = 166,231,330,108.65
  5. Step 5: Solve for x
    x = 166,231,330,108.65/186,940.41
  6. Step 6: Final answer
    x = 889,220.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.