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Finding the Third Proportional to 189,692 and 402,726

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Solution

The third proportional to 189,692 and 402,726 is: 855,008.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,692 : 402,726 = 402,726 : x
  2. Step 2: Convert to fraction form
    189,692/402,726 = 402,726/x
  3. Step 3: Cross multiply
    189,692x = 402,726 × 402,726
  4. Step 4: Simplify right side
    189,692x = 162,188,231,076
  5. Step 5: Solve for x
    x = 162,188,231,076/189,692
  6. Step 6: Final answer
    x = 855,008.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.