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Finding the Third Proportional to 125,354.50 and 264,668

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Solution

The third proportional to 125,354.50 and 264,668 is: 558,808.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,354.50 : 264,668 = 264,668 : x
  2. Step 2: Convert to fraction form
    125,354.50/264,668 = 264,668/x
  3. Step 3: Cross multiply
    125,354.50x = 264,668 × 264,668
  4. Step 4: Simplify right side
    125,354.50x = 70,049,150,224
  5. Step 5: Solve for x
    x = 70,049,150,224/125,354.50
  6. Step 6: Final answer
    x = 558,808.42

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.