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Finding the Third Proportional to 187,072 and 279,792

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Solution

The third proportional to 187,072 and 279,792 is: 418,467.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,072 : 279,792 = 279,792 : x
  2. Step 2: Convert to fraction form
    187,072/279,792 = 279,792/x
  3. Step 3: Cross multiply
    187,072x = 279,792 × 279,792
  4. Step 4: Simplify right side
    187,072x = 78,283,563,264
  5. Step 5: Solve for x
    x = 78,283,563,264/187,072
  6. Step 6: Final answer
    x = 418,467.56

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Why These Related Problems?

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