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Finding the Third Proportional to 122,313 and 269,457

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Solution

The third proportional to 122,313 and 269,457 is: 593,616.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,313 : 269,457 = 269,457 : x
  2. Step 2: Convert to fraction form
    122,313/269,457 = 269,457/x
  3. Step 3: Cross multiply
    122,313x = 269,457 × 269,457
  4. Step 4: Simplify right side
    122,313x = 72,607,074,849
  5. Step 5: Solve for x
    x = 72,607,074,849/122,313
  6. Step 6: Final answer
    x = 593,616.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.