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Finding the Third Proportional to 255,190.50 and 376,962.75

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Solution

The third proportional to 255,190.50 and 376,962.75 is: 556,842.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,190.50 : 376,962.75 = 376,962.75 : x
  2. Step 2: Convert to fraction form
    255,190.50/376,962.75 = 376,962.75/x
  3. Step 3: Cross multiply
    255,190.50x = 376,962.75 × 376,962.75
  4. Step 4: Simplify right side
    255,190.50x = 142,100,914,887.56
  5. Step 5: Solve for x
    x = 142,100,914,887.56/255,190.50
  6. Step 6: Final answer
    x = 556,842.50

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.