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Finding the Third Proportional to 149,012 and 323,253.50

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Solution

The third proportional to 149,012 and 323,253.50 is: 701,237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,012 : 323,253.50 = 323,253.50 : x
  2. Step 2: Convert to fraction form
    149,012/323,253.50 = 323,253.50/x
  3. Step 3: Cross multiply
    149,012x = 323,253.50 × 323,253.50
  4. Step 4: Simplify right side
    149,012x = 104,492,825,262.25
  5. Step 5: Solve for x
    x = 104,492,825,262.25/149,012
  6. Step 6: Final answer
    x = 701,237.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.