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Finding the Third Proportional to 148,776 and 327,036

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Solution

The third proportional to 148,776 and 327,036 is: 718,883.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,776 : 327,036 = 327,036 : x
  2. Step 2: Convert to fraction form
    148,776/327,036 = 327,036/x
  3. Step 3: Cross multiply
    148,776x = 327,036 × 327,036
  4. Step 4: Simplify right side
    148,776x = 106,952,545,296
  5. Step 5: Solve for x
    x = 106,952,545,296/148,776
  6. Step 6: Final answer
    x = 718,883.05

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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.