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Finding the Third Proportional to 119,928 and 263,364

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Solution

The third proportional to 119,928 and 263,364 is: 578,351.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,928 : 263,364 = 263,364 : x
  2. Step 2: Convert to fraction form
    119,928/263,364 = 263,364/x
  3. Step 3: Cross multiply
    119,928x = 263,364 × 263,364
  4. Step 4: Simplify right side
    119,928x = 69,360,596,496
  5. Step 5: Solve for x
    x = 69,360,596,496/119,928
  6. Step 6: Final answer
    x = 578,351.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.