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Finding the Third Proportional to 226,968 and 329,758.50

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Solution

The third proportional to 226,968 and 329,758.50 is: 479,101.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,968 : 329,758.50 = 329,758.50 : x
  2. Step 2: Convert to fraction form
    226,968/329,758.50 = 329,758.50/x
  3. Step 3: Cross multiply
    226,968x = 329,758.50 × 329,758.50
  4. Step 4: Simplify right side
    226,968x = 108,740,668,322.25
  5. Step 5: Solve for x
    x = 108,740,668,322.25/226,968
  6. Step 6: Final answer
    x = 479,101.32

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.