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Finding the Third Proportional to 210,147.75 and 456,016.50

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Solution

The third proportional to 210,147.75 and 456,016.50 is: 989,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,147.75 : 456,016.50 = 456,016.50 : x
  2. Step 2: Convert to fraction form
    210,147.75/456,016.50 = 456,016.50/x
  3. Step 3: Cross multiply
    210,147.75x = 456,016.50 × 456,016.50
  4. Step 4: Simplify right side
    210,147.75x = 207,951,048,272.25
  5. Step 5: Solve for x
    x = 207,951,048,272.25/210,147.75
  6. Step 6: Final answer
    x = 989,546.87

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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.