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Finding the Third Proportional to 178,910.25 and 385,846.50

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Solution

The third proportional to 178,910.25 and 385,846.50 is: 832,135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,910.25 : 385,846.50 = 385,846.50 : x
  2. Step 2: Convert to fraction form
    178,910.25/385,846.50 = 385,846.50/x
  3. Step 3: Cross multiply
    178,910.25x = 385,846.50 × 385,846.50
  4. Step 4: Simplify right side
    178,910.25x = 148,877,521,562.25
  5. Step 5: Solve for x
    x = 148,877,521,562.25/178,910.25
  6. Step 6: Final answer
    x = 832,135.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.