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Finding the Third Proportional to 187,692 and 283,159

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Solution

The third proportional to 187,692 and 283,159 is: 427,184.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,692 : 283,159 = 283,159 : x
  2. Step 2: Convert to fraction form
    187,692/283,159 = 283,159/x
  3. Step 3: Cross multiply
    187,692x = 283,159 × 283,159
  4. Step 4: Simplify right side
    187,692x = 80,179,019,281
  5. Step 5: Solve for x
    x = 80,179,019,281/187,692
  6. Step 6: Final answer
    x = 427,184.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.