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Finding the Third Proportional to 210,040.50 and 319,441.50

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Solution

The third proportional to 210,040.50 and 319,441.50 is: 485,824.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,040.50 : 319,441.50 = 319,441.50 : x
  2. Step 2: Convert to fraction form
    210,040.50/319,441.50 = 319,441.50/x
  3. Step 3: Cross multiply
    210,040.50x = 319,441.50 × 319,441.50
  4. Step 4: Simplify right side
    210,040.50x = 102,042,871,922.25
  5. Step 5: Solve for x
    x = 102,042,871,922.25/210,040.50
  6. Step 6: Final answer
    x = 485,824.74

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.