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Finding the Third Proportional to 178,780.50 and 372,262.50

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Solution

The third proportional to 178,780.50 and 372,262.50 is: 775,136.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,780.50 : 372,262.50 = 372,262.50 : x
  2. Step 2: Convert to fraction form
    178,780.50/372,262.50 = 372,262.50/x
  3. Step 3: Cross multiply
    178,780.50x = 372,262.50 × 372,262.50
  4. Step 4: Simplify right side
    178,780.50x = 138,579,368,906.25
  5. Step 5: Solve for x
    x = 138,579,368,906.25/178,780.50
  6. Step 6: Final answer
    x = 775,136.94

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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.