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Finding the Third Proportional to 179,387 and 268,768

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Solution

The third proportional to 179,387 and 268,768 is: 402,683.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,387 : 268,768 = 268,768 : x
  2. Step 2: Convert to fraction form
    179,387/268,768 = 268,768/x
  3. Step 3: Cross multiply
    179,387x = 268,768 × 268,768
  4. Step 4: Simplify right side
    179,387x = 72,236,237,824
  5. Step 5: Solve for x
    x = 72,236,237,824/179,387
  6. Step 6: Final answer
    x = 402,683.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.