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Finding the Third Proportional to 110,483 and 240,654

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Solution

The third proportional to 110,483 and 240,654 is: 524,192.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,483 : 240,654 = 240,654 : x
  2. Step 2: Convert to fraction form
    110,483/240,654 = 240,654/x
  3. Step 3: Cross multiply
    110,483x = 240,654 × 240,654
  4. Step 4: Simplify right side
    110,483x = 57,914,347,716
  5. Step 5: Solve for x
    x = 57,914,347,716/110,483
  6. Step 6: Final answer
    x = 524,192.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.