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Finding the Third Proportional to 181,392.75 and 377,672.63

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Solution

The third proportional to 181,392.75 and 377,672.63 is: 786,341.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,392.75 : 377,672.63 = 377,672.63 : x
  2. Step 2: Convert to fraction form
    181,392.75/377,672.63 = 377,672.63/x
  3. Step 3: Cross multiply
    181,392.75x = 377,672.63 × 377,672.63
  4. Step 4: Simplify right side
    181,392.75x = 142,636,611,674.39
  5. Step 5: Solve for x
    x = 142,636,611,674.39/181,392.75
  6. Step 6: Final answer
    x = 786,341.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.