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Finding the Third Proportional to 129,433 and 276,861.50

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Solution

The third proportional to 129,433 and 276,861.50 is: 592,215.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,433 : 276,861.50 = 276,861.50 : x
  2. Step 2: Convert to fraction form
    129,433/276,861.50 = 276,861.50/x
  3. Step 3: Cross multiply
    129,433x = 276,861.50 × 276,861.50
  4. Step 4: Simplify right side
    129,433x = 76,652,290,182.25
  5. Step 5: Solve for x
    x = 76,652,290,182.25/129,433
  6. Step 6: Final answer
    x = 592,215.97

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.