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Finding the Third Proportional to 264,311.25 and 425,581.50

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Solution

The third proportional to 264,311.25 and 425,581.50 is: 685,251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,311.25 : 425,581.50 = 425,581.50 : x
  2. Step 2: Convert to fraction form
    264,311.25/425,581.50 = 425,581.50/x
  3. Step 3: Cross multiply
    264,311.25x = 425,581.50 × 425,581.50
  4. Step 4: Simplify right side
    264,311.25x = 181,119,613,142.25
  5. Step 5: Solve for x
    x = 181,119,613,142.25/264,311.25
  6. Step 6: Final answer
    x = 685,251.25

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.