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Finding the Third Proportional to 177,558.75 and 385,479

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Solution

The third proportional to 177,558.75 and 385,479 is: 836,872.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,558.75 : 385,479 = 385,479 : x
  2. Step 2: Convert to fraction form
    177,558.75/385,479 = 385,479/x
  3. Step 3: Cross multiply
    177,558.75x = 385,479 × 385,479
  4. Step 4: Simplify right side
    177,558.75x = 148,594,059,441
  5. Step 5: Solve for x
    x = 148,594,059,441/177,558.75
  6. Step 6: Final answer
    x = 836,872.64

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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.