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Finding the Third Proportional to 149,896.50 and 319,213.50

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Solution

The third proportional to 149,896.50 and 319,213.50 is: 679,784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,896.50 : 319,213.50 = 319,213.50 : x
  2. Step 2: Convert to fraction form
    149,896.50/319,213.50 = 319,213.50/x
  3. Step 3: Cross multiply
    149,896.50x = 319,213.50 × 319,213.50
  4. Step 4: Simplify right side
    149,896.50x = 101,897,258,582.25
  5. Step 5: Solve for x
    x = 101,897,258,582.25/149,896.50
  6. Step 6: Final answer
    x = 679,784.11

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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.