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Finding the Third Proportional to 169,041 and 362,076

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Solution

The third proportional to 169,041 and 362,076 is: 775,545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,041 : 362,076 = 362,076 : x
  2. Step 2: Convert to fraction form
    169,041/362,076 = 362,076/x
  3. Step 3: Cross multiply
    169,041x = 362,076 × 362,076
  4. Step 4: Simplify right side
    169,041x = 131,099,029,776
  5. Step 5: Solve for x
    x = 131,099,029,776/169,041
  6. Step 6: Final answer
    x = 775,545.75

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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.