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Finding the Third Proportional to 149,908 and 319,236.50

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Solution

The third proportional to 149,908 and 319,236.50 is: 679,829.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,908 : 319,236.50 = 319,236.50 : x
  2. Step 2: Convert to fraction form
    149,908/319,236.50 = 319,236.50/x
  3. Step 3: Cross multiply
    149,908x = 319,236.50 × 319,236.50
  4. Step 4: Simplify right side
    149,908x = 101,911,942,932.25
  5. Step 5: Solve for x
    x = 101,911,942,932.25/149,908
  6. Step 6: Final answer
    x = 679,829.92

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.