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Finding the Third Proportional to 164,488 and 354,584

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Solution

The third proportional to 164,488 and 354,584 is: 764,370.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,488 : 354,584 = 354,584 : x
  2. Step 2: Convert to fraction form
    164,488/354,584 = 354,584/x
  3. Step 3: Cross multiply
    164,488x = 354,584 × 354,584
  4. Step 4: Simplify right side
    164,488x = 125,729,813,056
  5. Step 5: Solve for x
    x = 125,729,813,056/164,488
  6. Step 6: Final answer
    x = 764,370.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.