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Finding the Third Proportional to 187,351 and 285,695

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Solution

The third proportional to 187,351 and 285,695 is: 435,661.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,351 : 285,695 = 285,695 : x
  2. Step 2: Convert to fraction form
    187,351/285,695 = 285,695/x
  3. Step 3: Cross multiply
    187,351x = 285,695 × 285,695
  4. Step 4: Simplify right side
    187,351x = 81,621,633,025
  5. Step 5: Solve for x
    x = 81,621,633,025/187,351
  6. Step 6: Final answer
    x = 435,661.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.