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Finding the Third Proportional to 122,857.50 and 268,446

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Solution

The third proportional to 122,857.50 and 268,446 is: 586,559.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,857.50 : 268,446 = 268,446 : x
  2. Step 2: Convert to fraction form
    122,857.50/268,446 = 268,446/x
  3. Step 3: Cross multiply
    122,857.50x = 268,446 × 268,446
  4. Step 4: Simplify right side
    122,857.50x = 72,063,254,916
  5. Step 5: Solve for x
    x = 72,063,254,916/122,857.50
  6. Step 6: Final answer
    x = 586,559.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.