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Finding the Third Proportional to 164,037 and 256,989.75

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Solution

The third proportional to 164,037 and 256,989.75 is: 402,614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,037 : 256,989.75 = 256,989.75 : x
  2. Step 2: Convert to fraction form
    164,037/256,989.75 = 256,989.75/x
  3. Step 3: Cross multiply
    164,037x = 256,989.75 × 256,989.75
  4. Step 4: Simplify right side
    164,037x = 66,043,731,605.06
  5. Step 5: Solve for x
    x = 66,043,731,605.06/164,037
  6. Step 6: Final answer
    x = 402,614.85

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.