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Finding the Third Proportional to 183,920.75 and 410,898

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Solution

The third proportional to 183,920.75 and 410,898 is: 917,988.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,920.75 : 410,898 = 410,898 : x
  2. Step 2: Convert to fraction form
    183,920.75/410,898 = 410,898/x
  3. Step 3: Cross multiply
    183,920.75x = 410,898 × 410,898
  4. Step 4: Simplify right side
    183,920.75x = 168,837,166,404
  5. Step 5: Solve for x
    x = 168,837,166,404/183,920.75
  6. Step 6: Final answer
    x = 917,988.68

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.