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Finding the Third Proportional to 172,050.75 and 404,795.25

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Solution

The third proportional to 172,050.75 and 404,795.25 is: 952,388.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,050.75 : 404,795.25 = 404,795.25 : x
  2. Step 2: Convert to fraction form
    172,050.75/404,795.25 = 404,795.25/x
  3. Step 3: Cross multiply
    172,050.75x = 404,795.25 × 404,795.25
  4. Step 4: Simplify right side
    172,050.75x = 163,859,194,422.56
  5. Step 5: Solve for x
    x = 163,859,194,422.56/172,050.75
  6. Step 6: Final answer
    x = 952,388.72

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.