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Finding the Third Proportional to 250,171 and 368,641

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Solution

The third proportional to 250,171 and 368,641 is: 543,213.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,171 : 368,641 = 368,641 : x
  2. Step 2: Convert to fraction form
    250,171/368,641 = 368,641/x
  3. Step 3: Cross multiply
    250,171x = 368,641 × 368,641
  4. Step 4: Simplify right side
    250,171x = 135,896,186,881
  5. Step 5: Solve for x
    x = 135,896,186,881/250,171
  6. Step 6: Final answer
    x = 543,213.19

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.