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Finding the Third Proportional to 139,664.25 and 301,471.88

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Solution

The third proportional to 139,664.25 and 301,471.88 is: 650,741.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,664.25 : 301,471.88 = 301,471.88 : x
  2. Step 2: Convert to fraction form
    139,664.25/301,471.88 = 301,471.88/x
  3. Step 3: Cross multiply
    139,664.25x = 301,471.88 × 301,471.88
  4. Step 4: Simplify right side
    139,664.25x = 90,885,291,416.02
  5. Step 5: Solve for x
    x = 90,885,291,416.02/139,664.25
  6. Step 6: Final answer
    x = 650,741.27

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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.