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Finding the Third Proportional to 73,638.70 and 160,398.98

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Solution

The third proportional to 73,638.70 and 160,398.98 is: 349,379.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,638.70 : 160,398.98 = 160,398.98 : x
  2. Step 2: Convert to fraction form
    73,638.70/160,398.98 = 160,398.98/x
  3. Step 3: Cross multiply
    73,638.70x = 160,398.98 × 160,398.98
  4. Step 4: Simplify right side
    73,638.70x = 25,727,834,188.53
  5. Step 5: Solve for x
    x = 25,727,834,188.53/73,638.70
  6. Step 6: Final answer
    x = 349,379.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.