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Finding the Third Proportional to 176,392 and 268,734

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Solution

The third proportional to 176,392 and 268,734 is: 409,417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,392 : 268,734 = 268,734 : x
  2. Step 2: Convert to fraction form
    176,392/268,734 = 268,734/x
  3. Step 3: Cross multiply
    176,392x = 268,734 × 268,734
  4. Step 4: Simplify right side
    176,392x = 72,217,962,756
  5. Step 5: Solve for x
    x = 72,217,962,756/176,392
  6. Step 6: Final answer
    x = 409,417.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.