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Finding the Third Proportional to 164,018 and 245,171.25

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Solution

The third proportional to 164,018 and 245,171.25 is: 366,477.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,018 : 245,171.25 = 245,171.25 : x
  2. Step 2: Convert to fraction form
    164,018/245,171.25 = 245,171.25/x
  3. Step 3: Cross multiply
    164,018x = 245,171.25 × 245,171.25
  4. Step 4: Simplify right side
    164,018x = 60,108,941,826.56
  5. Step 5: Solve for x
    x = 60,108,941,826.56/164,018
  6. Step 6: Final answer
    x = 366,477.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.