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Finding the Third Proportional to 178,076.25 and 254,631.75

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Solution

The third proportional to 178,076.25 and 254,631.75 is: 364,098.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,076.25 : 254,631.75 = 254,631.75 : x
  2. Step 2: Convert to fraction form
    178,076.25/254,631.75 = 254,631.75/x
  3. Step 3: Cross multiply
    178,076.25x = 254,631.75 × 254,631.75
  4. Step 4: Simplify right side
    178,076.25x = 64,837,328,108.06
  5. Step 5: Solve for x
    x = 64,837,328,108.06/178,076.25
  6. Step 6: Final answer
    x = 364,098.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.