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Finding the Third Proportional to 148,764.50 and 327,013

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Solution

The third proportional to 148,764.50 and 327,013 is: 718,837.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,764.50 : 327,013 = 327,013 : x
  2. Step 2: Convert to fraction form
    148,764.50/327,013 = 327,013/x
  3. Step 3: Cross multiply
    148,764.50x = 327,013 × 327,013
  4. Step 4: Simplify right side
    148,764.50x = 106,937,502,169
  5. Step 5: Solve for x
    x = 106,937,502,169/148,764.50
  6. Step 6: Final answer
    x = 718,837.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.