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Finding the Third Proportional to 164,292 and 247,167

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Solution

The third proportional to 164,292 and 247,167 is: 371,847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,292 : 247,167 = 247,167 : x
  2. Step 2: Convert to fraction form
    164,292/247,167 = 247,167/x
  3. Step 3: Cross multiply
    164,292x = 247,167 × 247,167
  4. Step 4: Simplify right side
    164,292x = 61,091,525,889
  5. Step 5: Solve for x
    x = 61,091,525,889/164,292
  6. Step 6: Final answer
    x = 371,847.23

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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.