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Finding the Third Proportional to 123,520 and 240,896

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Solution

The third proportional to 123,520 and 240,896 is: 469,809.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,520 : 240,896 = 240,896 : x
  2. Step 2: Convert to fraction form
    123,520/240,896 = 240,896/x
  3. Step 3: Cross multiply
    123,520x = 240,896 × 240,896
  4. Step 4: Simplify right side
    123,520x = 58,030,882,816
  5. Step 5: Solve for x
    x = 58,030,882,816/123,520
  6. Step 6: Final answer
    x = 469,809.61

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.