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Finding the Third Proportional to 177,504.86 and 385,103.74

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Solution

The third proportional to 177,504.86 and 385,103.74 is: 835,497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,504.86 : 385,103.74 = 385,103.74 : x
  2. Step 2: Convert to fraction form
    177,504.86/385,103.74 = 385,103.74/x
  3. Step 3: Cross multiply
    177,504.86x = 385,103.74 × 385,103.74
  4. Step 4: Simplify right side
    177,504.86x = 148,304,892,246.82
  5. Step 5: Solve for x
    x = 148,304,892,246.82/177,504.86
  6. Step 6: Final answer
    x = 835,497.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.