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Finding the Third Proportional to 169,586 and 268,491

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Solution

The third proportional to 169,586 and 268,491 is: 425,078.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,586 : 268,491 = 268,491 : x
  2. Step 2: Convert to fraction form
    169,586/268,491 = 268,491/x
  3. Step 3: Cross multiply
    169,586x = 268,491 × 268,491
  4. Step 4: Simplify right side
    169,586x = 72,087,417,081
  5. Step 5: Solve for x
    x = 72,087,417,081/169,586
  6. Step 6: Final answer
    x = 425,078.82

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.