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Finding the Third Proportional to 149,016 and 319,339.50

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Solution

The third proportional to 149,016 and 319,339.50 is: 684,340.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,016 : 319,339.50 = 319,339.50 : x
  2. Step 2: Convert to fraction form
    149,016/319,339.50 = 319,339.50/x
  3. Step 3: Cross multiply
    149,016x = 319,339.50 × 319,339.50
  4. Step 4: Simplify right side
    149,016x = 101,977,716,260.25
  5. Step 5: Solve for x
    x = 101,977,716,260.25/149,016
  6. Step 6: Final answer
    x = 684,340.72

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.