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Finding the Third Proportional to 139,748.25 and 301,624.75

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Solution

The third proportional to 139,748.25 and 301,624.75 is: 651,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,748.25 : 301,624.75 = 301,624.75 : x
  2. Step 2: Convert to fraction form
    139,748.25/301,624.75 = 301,624.75/x
  3. Step 3: Cross multiply
    139,748.25x = 301,624.75 × 301,624.75
  4. Step 4: Simplify right side
    139,748.25x = 90,977,489,812.56
  5. Step 5: Solve for x
    x = 90,977,489,812.56/139,748.25
  6. Step 6: Final answer
    x = 651,009.87

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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.