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Finding the Third Proportional to 264,861.56 and 340,083.56

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Solution

The third proportional to 264,861.56 and 340,083.56 is: 436,668.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,861.56 : 340,083.56 = 340,083.56 : x
  2. Step 2: Convert to fraction form
    264,861.56/340,083.56 = 340,083.56/x
  3. Step 3: Cross multiply
    264,861.56x = 340,083.56 × 340,083.56
  4. Step 4: Simplify right side
    264,861.56x = 115,656,829,482.69
  5. Step 5: Solve for x
    x = 115,656,829,482.69/264,861.56
  6. Step 6: Final answer
    x = 436,668.98

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.