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Finding the Third Proportional to 183,496 and 268,164

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Solution

The third proportional to 183,496 and 268,164 is: 391,899.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,496 : 268,164 = 268,164 : x
  2. Step 2: Convert to fraction form
    183,496/268,164 = 268,164/x
  3. Step 3: Cross multiply
    183,496x = 268,164 × 268,164
  4. Step 4: Simplify right side
    183,496x = 71,911,930,896
  5. Step 5: Solve for x
    x = 71,911,930,896/183,496
  6. Step 6: Final answer
    x = 391,899.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.