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Finding the Third Proportional to 151,464.75 and 318,598.50

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Solution

The third proportional to 151,464.75 and 318,598.50 is: 670,155.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,464.75 : 318,598.50 = 318,598.50 : x
  2. Step 2: Convert to fraction form
    151,464.75/318,598.50 = 318,598.50/x
  3. Step 3: Cross multiply
    151,464.75x = 318,598.50 × 318,598.50
  4. Step 4: Simplify right side
    151,464.75x = 101,505,004,202.25
  5. Step 5: Solve for x
    x = 101,505,004,202.25/151,464.75
  6. Step 6: Final answer
    x = 670,155.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.