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Finding the Third Proportional to 139,360.50 and 301,077

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Solution

The third proportional to 139,360.50 and 301,077 is: 650,452.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,360.50 : 301,077 = 301,077 : x
  2. Step 2: Convert to fraction form
    139,360.50/301,077 = 301,077/x
  3. Step 3: Cross multiply
    139,360.50x = 301,077 × 301,077
  4. Step 4: Simplify right side
    139,360.50x = 90,647,359,929
  5. Step 5: Solve for x
    x = 90,647,359,929/139,360.50
  6. Step 6: Final answer
    x = 650,452.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.