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Finding the Third Proportional to 110,424 and 240,048

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Solution

The third proportional to 110,424 and 240,048 is: 521,834.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,424 : 240,048 = 240,048 : x
  2. Step 2: Convert to fraction form
    110,424/240,048 = 240,048/x
  3. Step 3: Cross multiply
    110,424x = 240,048 × 240,048
  4. Step 4: Simplify right side
    110,424x = 57,623,042,304
  5. Step 5: Solve for x
    x = 57,623,042,304/110,424
  6. Step 6: Final answer
    x = 521,834.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.