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Finding the Third Proportional to 169,536 and 263,424

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Solution

The third proportional to 169,536 and 263,424 is: 409,306.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,536 : 263,424 = 263,424 : x
  2. Step 2: Convert to fraction form
    169,536/263,424 = 263,424/x
  3. Step 3: Cross multiply
    169,536x = 263,424 × 263,424
  4. Step 4: Simplify right side
    169,536x = 69,392,203,776
  5. Step 5: Solve for x
    x = 69,392,203,776/169,536
  6. Step 6: Final answer
    x = 409,306.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.