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Finding the Third Proportional to 139,630.50 and 301,400.50

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Solution

The third proportional to 139,630.50 and 301,400.50 is: 650,590.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,630.50 : 301,400.50 = 301,400.50 : x
  2. Step 2: Convert to fraction form
    139,630.50/301,400.50 = 301,400.50/x
  3. Step 3: Cross multiply
    139,630.50x = 301,400.50 × 301,400.50
  4. Step 4: Simplify right side
    139,630.50x = 90,842,261,400.25
  5. Step 5: Solve for x
    x = 90,842,261,400.25/139,630.50
  6. Step 6: Final answer
    x = 650,590.39

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