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Finding the Third Proportional to 148,716 and 327,078

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Solution

The third proportional to 148,716 and 327,078 is: 719,357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,716 : 327,078 = 327,078 : x
  2. Step 2: Convert to fraction form
    148,716/327,078 = 327,078/x
  3. Step 3: Cross multiply
    148,716x = 327,078 × 327,078
  4. Step 4: Simplify right side
    148,716x = 106,980,018,084
  5. Step 5: Solve for x
    x = 106,980,018,084/148,716
  6. Step 6: Final answer
    x = 719,357.82

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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.