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Finding the Third Proportional to 169,768 and 359,773.25

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Solution

The third proportional to 169,768 and 359,773.25 is: 762,433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,768 : 359,773.25 = 359,773.25 : x
  2. Step 2: Convert to fraction form
    169,768/359,773.25 = 359,773.25/x
  3. Step 3: Cross multiply
    169,768x = 359,773.25 × 359,773.25
  4. Step 4: Simplify right side
    169,768x = 129,436,791,415.56
  5. Step 5: Solve for x
    x = 129,436,791,415.56/169,768
  6. Step 6: Final answer
    x = 762,433.39

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