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Finding the Third Proportional to 144,652 and 216,834

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Solution

The third proportional to 144,652 and 216,834 is: 325,035.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,652 : 216,834 = 216,834 : x
  2. Step 2: Convert to fraction form
    144,652/216,834 = 216,834/x
  3. Step 3: Cross multiply
    144,652x = 216,834 × 216,834
  4. Step 4: Simplify right side
    144,652x = 47,016,983,556
  5. Step 5: Solve for x
    x = 47,016,983,556/144,652
  6. Step 6: Final answer
    x = 325,035.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.