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Finding the Third Proportional to 255,199.50 and 376,980.75

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Solution

The third proportional to 255,199.50 and 376,980.75 is: 556,876.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,199.50 : 376,980.75 = 376,980.75 : x
  2. Step 2: Convert to fraction form
    255,199.50/376,980.75 = 376,980.75/x
  3. Step 3: Cross multiply
    255,199.50x = 376,980.75 × 376,980.75
  4. Step 4: Simplify right side
    255,199.50x = 142,114,485,870.56
  5. Step 5: Solve for x
    x = 142,114,485,870.56/255,199.50
  6. Step 6: Final answer
    x = 556,876.04

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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.