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Finding the Third Proportional to 230,700 and 324,729

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Solution

The third proportional to 230,700 and 324,729 is: 457,082.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,700 : 324,729 = 324,729 : x
  2. Step 2: Convert to fraction form
    230,700/324,729 = 324,729/x
  3. Step 3: Cross multiply
    230,700x = 324,729 × 324,729
  4. Step 4: Simplify right side
    230,700x = 105,448,923,441
  5. Step 5: Solve for x
    x = 105,448,923,441/230,700
  6. Step 6: Final answer
    x = 457,082.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.