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Finding the Third Proportional to 164,932 and 247,348

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Solution

The third proportional to 164,932 and 247,348 is: 370,947.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,932 : 247,348 = 247,348 : x
  2. Step 2: Convert to fraction form
    164,932/247,348 = 247,348/x
  3. Step 3: Cross multiply
    164,932x = 247,348 × 247,348
  4. Step 4: Simplify right side
    164,932x = 61,181,033,104
  5. Step 5: Solve for x
    x = 61,181,033,104/164,932
  6. Step 6: Final answer
    x = 370,947.02

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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.