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Finding the Third Proportional to 164,480.63 and 214,371.56

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Solution

The third proportional to 164,480.63 and 214,371.56 is: 279,395.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,480.63 : 214,371.56 = 214,371.56 : x
  2. Step 2: Convert to fraction form
    164,480.63/214,371.56 = 214,371.56/x
  3. Step 3: Cross multiply
    164,480.63x = 214,371.56 × 214,371.56
  4. Step 4: Simplify right side
    164,480.63x = 45,955,166,808.69
  5. Step 5: Solve for x
    x = 45,955,166,808.69/164,480.63
  6. Step 6: Final answer
    x = 279,395.62

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.