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Finding the Third Proportional to 164,302 and 247,180

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Solution

The third proportional to 164,302 and 247,180 is: 371,863.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,302 : 247,180 = 247,180 : x
  2. Step 2: Convert to fraction form
    164,302/247,180 = 247,180/x
  3. Step 3: Cross multiply
    164,302x = 247,180 × 247,180
  4. Step 4: Simplify right side
    164,302x = 61,097,952,400
  5. Step 5: Solve for x
    x = 61,097,952,400/164,302
  6. Step 6: Final answer
    x = 371,863.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.