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Finding the Third Proportional to 123,345 and 268,965

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Solution

The third proportional to 123,345 and 268,965 is: 586,502.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,345 : 268,965 = 268,965 : x
  2. Step 2: Convert to fraction form
    123,345/268,965 = 268,965/x
  3. Step 3: Cross multiply
    123,345x = 268,965 × 268,965
  4. Step 4: Simplify right side
    123,345x = 72,342,171,225
  5. Step 5: Solve for x
    x = 72,342,171,225/123,345
  6. Step 6: Final answer
    x = 586,502.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.