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Finding the Third Proportional to 187,252 and 400,748

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Solution

The third proportional to 187,252 and 400,748 is: 857,662.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,252 : 400,748 = 400,748 : x
  2. Step 2: Convert to fraction form
    187,252/400,748 = 400,748/x
  3. Step 3: Cross multiply
    187,252x = 400,748 × 400,748
  4. Step 4: Simplify right side
    187,252x = 160,598,959,504
  5. Step 5: Solve for x
    x = 160,598,959,504/187,252
  6. Step 6: Final answer
    x = 857,662.19

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.