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Finding the Third Proportional to 251,100 and 376,629.75

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Solution

The third proportional to 251,100 and 376,629.75 is: 564,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,100 : 376,629.75 = 376,629.75 : x
  2. Step 2: Convert to fraction form
    251,100/376,629.75 = 376,629.75/x
  3. Step 3: Cross multiply
    251,100x = 376,629.75 × 376,629.75
  4. Step 4: Simplify right side
    251,100x = 141,849,968,585.06
  5. Step 5: Solve for x
    x = 141,849,968,585.06/251,100
  6. Step 6: Final answer
    x = 564,914.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.