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Finding the Third Proportional to 148,900 and 324,044

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Solution

The third proportional to 148,900 and 324,044 is: 705,201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,900 : 324,044 = 324,044 : x
  2. Step 2: Convert to fraction form
    148,900/324,044 = 324,044/x
  3. Step 3: Cross multiply
    148,900x = 324,044 × 324,044
  4. Step 4: Simplify right side
    148,900x = 105,004,513,936
  5. Step 5: Solve for x
    x = 105,004,513,936/148,900
  6. Step 6: Final answer
    x = 705,201.57

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Why These Related Problems?

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