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Finding the Third Proportional to 144,984 and 216,801

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Solution

The third proportional to 144,984 and 216,801 is: 324,192.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,984 : 216,801 = 216,801 : x
  2. Step 2: Convert to fraction form
    144,984/216,801 = 216,801/x
  3. Step 3: Cross multiply
    144,984x = 216,801 × 216,801
  4. Step 4: Simplify right side
    144,984x = 47,002,673,601
  5. Step 5: Solve for x
    x = 47,002,673,601/144,984
  6. Step 6: Final answer
    x = 324,192.14

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Why These Related Problems?

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